1012405100 has 72 divisors (see below), whose sum is σ = 2578689120. Its totient is φ = 337720320.

The previous prime is 1012405061. The next prime is 1012405103. The reversal of 1012405100 is 15042101.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (1012405103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6356 + ... + 45444.

Almost surely, 2^1012405100 is an apocalyptic number.

1012405100 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 1012405100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1289344560).

1012405100 is an abundant number, since it is smaller than the sum of its proper divisors (1566284020).

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

1012405100 is a wasteful number, since it uses less digits than its factorization.

1012405100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39147 (or 39140 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 1012405100 is about 31818.3139088167. The cubic root of 1012405100 is about 1004.1180517050.

Adding to 1012405100 its reverse (15042101), we get a palindrome (1027447201).

The spelling of 1012405100 in words is "one billion, twelve million, four hundred five thousand, one hundred".