100929040 has 40 divisors (see below), whose sum is σ = 235621080. Its totient is φ = 40206336.

The previous prime is 100929029. The next prime is 100929043. The reversal of 100929040 is 40929001.

It can be written as a sum of positive squares in 4 ways, for example, as 71639296 + 29289744 = 8464^2 + 5412^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×100929040² = 20373342230643200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100928996 and 100929014.

It is not an unprimeable number, because it can be changed into a prime (100929043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18106 + ... + 23014.

It is an arithmetic number, because the mean of its divisors is an integer number (5890527).

Almost surely, 2^100929040 is an apocalyptic number.

100929040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100929040 is an abundant number, since it is smaller than the sum of its proper divisors (134692040).

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

100929040 is a wasteful number, since it uses less digits than its factorization.

100929040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5179 (or 5173 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 25.

The square root of 100929040 is about 10046.3446088615. The cubic root of 100929040 is about 465.5918620622.

The spelling of 100929040 in words is "one hundred million, nine hundred twenty-nine thousand, forty".