100956336 has 160 divisors (see below), whose sum is σ = 307980288. Its totient is φ = 28200960.

The previous prime is 100956307. The next prime is 100956371. The reversal of 100956336 is 633659001.

It is a junction number, because it is equal to n+sod(n) for n = 100956297 and 100956306.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 328695 + ... + 329001.

Almost surely, 2^100956336 is an apocalyptic number.

100956336 is a gapful number since it is divisible by the number (16) 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 100956336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153990144).

100956336 is an abundant number, since it is smaller than the sum of its proper divisors (207023952).

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

100956336 is a wasteful number, since it uses less digits than its factorization.

100956336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 33.

The square root of 100956336 is about 10047.7030210889. The cubic root of 100956336 is about 465.6338309873.

The spelling of 100956336 in words is "one hundred million, nine hundred fifty-six thousand, three hundred thirty-six".