100155852 has 72 divisors (see below), whose sum is σ = 265348720. Its totient is φ = 33073272.

The previous prime is 100155829. The next prime is 100155877. The reversal of 100155852 is 258551001.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

100155852 is a `hidden beast` number, since 100 + 1 + 558 + 5 + 2 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 935983 + ... + 936089.

Almost surely, 2^100155852 is an apocalyptic number.

100155852 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 100155852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132674360).

100155852 is an abundant number, since it is smaller than the sum of its proper divisors (165192868).

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

100155852 is an frugal number, since it uses more digits than its factorization.

100155852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 27.

The square root of 100155852 is about 10007.7895661330. The cubic root of 100155852 is about 464.3998918334.

Multiplying 100155852 by its sum of digits (27), we get a square (2704208004 = 52002²).

100155852 divided by its sum of digits (27) gives a square (3709476 = 1926²).

The spelling of 100155852 in words is "one hundred million, one hundred fifty-five thousand, eight hundred fifty-two".