100756992 has 80 divisors (see below), whose sum is σ = 306801792. Its totient is φ = 28784640.

The previous prime is 100756979. The next prime is 100756993. The reversal of 100756992 is 299657001.

It is a self number, because there is not a number n which added to its sum of digits gives 100756992.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100756993) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6067 + ... + 15437.

Almost surely, 2^100756992 is an apocalyptic number.

100756992 is a gapful number since it is divisible by the number (12) 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 100756992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153400896).

100756992 is an abundant number, since it is smaller than the sum of its proper divisors (206044800).

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

100756992 is an frugal number, since it uses more digits than its factorization.

100756992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9399 (or 9383 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 39.

The square root of 100756992 is about 10037.7782402283. The cubic root of 100756992 is about 465.3271555972.

The spelling of 100756992 in words is "one hundred million, seven hundred fifty-six thousand, nine hundred ninety-two".