100873888 has 48 divisors (see below), whose sum is σ = 210198240. Its totient is φ = 47520000.

The previous prime is 100873853. The next prime is 100873897. The reversal of 100873888 is 888378001.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 152278 + ... + 152938.

It is an arithmetic number, because the mean of its divisors is an integer number (4379130).

Almost surely, 2^100873888 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 100873888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105099120).

100873888 is an abundant number, since it is smaller than the sum of its proper divisors (109324352).

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

100873888 is a wasteful number, since it uses less digits than its factorization.

100873888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 941 (or 933 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 43.

The square root of 100873888 is about 10043.5993548130. The cubic root of 100873888 is about 465.5070400888.

It can be divided in two parts, 100873 and 888, that added together give a square (101761 = 319²).

The spelling of 100873888 in words is "one hundred million, eight hundred seventy-three thousand, eight hundred eighty-eight".