100956229920 has 576 divisors, whose sum is σ = 448968199680. Its totient is φ = 20047233024.

The previous prime is 100956229909. The next prime is 100956229921. The reversal of 100956229920 is 29922659001.

100956229920 is a `hidden beast` number, since 10 + 0 + 9 + 5 + 622 + 9 + 9 + 2 + 0 = 666.

It is a super-3 number, since 3×100956229920³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (100956229921) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2205021 + ... + 2250339.

It is an arithmetic number, because the mean of its divisors is an integer number (779458680).

Almost surely, 2^100956229920 is an apocalyptic number.

100956229920 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 100956229920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224484099840).

100956229920 is an abundant number, since it is smaller than the sum of its proper divisors (348011969760).

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

100956229920 is a wasteful number, since it uses less digits than its factorization.

100956229920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45377 (or 45366 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 100956229920 in words is "one hundred billion, nine hundred fifty-six million, two hundred twenty-nine thousand, nine hundred twenty".