100885360 has 40 divisors (see below), whose sum is σ = 244761120. Its totient is φ = 38598912.

The previous prime is 100885357. The next prime is 100885363. The reversal of 100885360 is 63588001.

It is an interprime number because it is at equal distance from previous prime (100885357) and next prime (100885363).

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100885363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25575 + ... + 29254.

It is an arithmetic number, because the mean of its divisors is an integer number (6119028).

Almost surely, 2^100885360 is an apocalyptic number.

100885360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100885360 is an abundant number, since it is smaller than the sum of its proper divisors (143875760).

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

100885360 is a wasteful number, since it uses less digits than its factorization.

100885360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54865 (or 54859 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 100885360 is about 10044.1704485736. The cubic root of 100885360 is about 465.5246861960.

It can be divided in two parts, 1008 and 85360, that added together give a palindrome (86368).

The spelling of 100885360 in words is "one hundred million, eight hundred eighty-five thousand, three hundred sixty".