100871190 has 192 divisors, whose sum is σ = 329817600. Its totient is φ = 21430656.

The previous prime is 100871189. The next prime is 100871203. The reversal of 100871190 is 91178001.

It is a super-2 number, since 2×100871190² = 20349993944032200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1903204 + ... + 1903256.

It is an arithmetic number, because the mean of its divisors is an integer number (1717800).

Almost surely, 2^100871190 is an apocalyptic number.

100871190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100871190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164908800).

100871190 is an abundant number, since it is smaller than the sum of its proper divisors (228946410).

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

100871190 is a wasteful number, since it uses less digits than its factorization.

100871190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 27.

The square root of 100871190 is about 10043.4650395170. The cubic root of 100871190 is about 465.5028898598.

The spelling of 100871190 in words is "one hundred million, eight hundred seventy-one thousand, one hundred ninety".