100351872 has 80 divisors (see below), whose sum is σ = 298676400. Its totient is φ = 33447168.

The previous prime is 100351871. The next prime is 100351873. The reversal of 100351872 is 278153001.

It is an interprime number because it is at equal distance from previous prime (100351871) and next prime (100351873).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100351871) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5529 + ... + 15207.

It is an arithmetic number, because the mean of its divisors is an integer number (3733455).

Almost surely, 2^100351872 is an apocalyptic number.

100351872 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 100351872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149338200).

100351872 is an abundant number, since it is smaller than the sum of its proper divisors (198324528).

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

100351872 is an frugal number, since it uses more digits than its factorization.

100351872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9705 (or 9684 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 100351872 is about 10017.5781504314. The cubic root of 100351872 is about 464.7026611073.

The spelling of 100351872 in words is "one hundred million, three hundred fifty-one thousand, eight hundred seventy-two".