100264480 has 48 divisors (see below), whose sum is σ = 240781464. Its totient is φ = 39444480.

The previous prime is 100264477. The next prime is 100264481. The reversal of 100264480 is 84462001.

It can be written as a sum of positive squares in 4 ways, for example, as 37601424 + 62663056 = 6132^2 + 7916^2 .

It is not an unprimeable number, because it can be changed into a prime (100264481) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4624 + ... + 14896.

Almost surely, 2^100264480 is an apocalyptic number.

100264480 is a gapful number since it is divisible by the number (10) 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 100264480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120390732).

100264480 is an abundant number, since it is smaller than the sum of its proper divisors (140516984).

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

100264480 is a wasteful number, since it uses less digits than its factorization.

100264480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10349 (or 10341 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 100264480 is about 10013.2152678348. The cubic root of 100264480 is about 464.5677256091.

The spelling of 100264480 in words is "one hundred million, two hundred sixty-four thousand, four hundred eighty".