101887880 has 64 divisors (see below), whose sum is σ = 244512000. Its totient is φ = 38098944.

The previous prime is 101887879. The next prime is 101887883. The reversal of 101887880 is 88788101.

It is a super-2 number, since 2×101887880² = 20762280181788800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101887883) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59192 + ... + 60888.

It is an arithmetic number, because the mean of its divisors is an integer number (3820500).

Almost surely, 2^101887880 is an apocalyptic number.

101887880 is a gapful number since it is divisible by the number (10) 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 101887880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122256000).

101887880 is an abundant number, since it is smaller than the sum of its proper divisors (142624120).

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

101887880 is a wasteful number, since it uses less digits than its factorization.

101887880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1806 (or 1802 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 41.

The square root of 101887880 is about 10093.9526450246. The cubic root of 101887880 is about 467.0616135022.

The spelling of 101887880 in words is "one hundred one million, eight hundred eighty-seven thousand, eight hundred eighty".