101725988 has 48 divisors (see below), whose sum is σ = 221351424. Its totient is φ = 39830400.

The previous prime is 101725963. The next prime is 101725991. The reversal of 101725988 is 889527101.

It is a super-2 number, since 2×101725988² = 20696353269152288, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35381 + ... + 38147.

It is an arithmetic number, because the mean of its divisors is an integer number (4611488).

Almost surely, 2^101725988 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101725988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110675712).

101725988 is an abundant number, since it is smaller than the sum of its proper divisors (119625436).

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

101725988 is a wasteful number, since it uses less digits than its factorization.

101725988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2892 (or 2890 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 41.

The square root of 101725988 is about 10085.9302000361. The cubic root of 101725988 is about 466.8141073803.

The spelling of 101725988 in words is "one hundred one million, seven hundred twenty-five thousand, nine hundred eighty-eight".