100629240 has 64 divisors (see below), whose sum is σ = 304140960. Its totient is φ = 26634240.

The previous prime is 100629227. The next prime is 100629247. The reversal of 100629240 is 42926001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 100629240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100629247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13380 + ... + 19500.

Almost surely, 2^100629240 is an apocalyptic number.

100629240 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 100629240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152070480).

100629240 is an abundant number, since it is smaller than the sum of its proper divisors (203511720).

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

100629240 is a wasteful number, since it uses less digits than its factorization.

100629240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6272 (or 6268 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 100629240 is about 10031.4126622326. The cubic root of 100629240 is about 465.1304062507.

The spelling of 100629240 in words is "one hundred million, six hundred twenty-nine thousand, two hundred forty".