35420100 has 72 divisors (see below), whose sum is σ = 105284928. Its totient is φ = 9187200.

The previous prime is 35420087. The next prime is 35420113. The reversal of 35420100 is 102453.

35420100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (35420087) and next prime (35420113).

It is a super-3 number, since 3×35420100³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 35420100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9505 + ... + 12695.

Almost surely, 2^35420100 is an apocalyptic number.

35420100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35420100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52642464).

35420100 is an abundant number, since it is smaller than the sum of its proper divisors (69864828).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

35420100 is a wasteful number, since it uses less digits than its factorization.

35420100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3245 (or 3238 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 35420100 is about 5951.4788078258. The cubic root of 35420100 is about 328.4101675138.

Adding to 35420100 its reverse (102453), we get a palindrome (35522553).

The spelling of 35420100 in words is "thirty-five million, four hundred twenty thousand, one hundred".