101188992 has 32 divisors (see below), whose sum is σ = 268784280. Its totient is φ = 33729536.

The previous prime is 101188973. The next prime is 101188993. The reversal of 101188992 is 299881101.

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 101188992.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101188993) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 131373 + ... + 132140.

Almost surely, 2^101188992 is an apocalyptic number.

101188992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101188992 is an abundant number, since it is smaller than the sum of its proper divisors (167595288).

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

101188992 is an equidigital number, since it uses as much as digits as its factorization.

101188992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263530 (or 263518 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 39.

The square root of 101188992 is about 10059.2739300608. The cubic root of 101188992 is about 465.9912442251.

It can be divided in two parts, 10118 and 8992, that added together give a triangular number (19110 = T₁₉₅).

The spelling of 101188992 in words is "one hundred one million, one hundred eighty-eight thousand, nine hundred ninety-two".