101672892 has 54 divisors (see below), whose sum is σ = 264268368. Its totient is φ = 32959008.

The previous prime is 101672887. The next prime is 101672897. The reversal of 101672892 is 298276101.

It is an interprime number because it is at equal distance from previous prime (101672887) and next prime (101672897).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101672897) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 48253 + ... + 50315.

Almost surely, 2^101672892 is an apocalyptic number.

101672892 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 101672892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132134184).

101672892 is an abundant number, since it is smaller than the sum of its proper divisors (162595476).

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

101672892 is a wasteful number, since it uses less digits than its factorization.

101672892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2147 (or 2105 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 101672892 is about 10083.2976748681. The cubic root of 101672892 is about 466.7328751867.

The spelling of 101672892 in words is "one hundred one million, six hundred seventy-two thousand, eight hundred ninety-two".