101878160 has 40 divisors (see below), whose sum is σ = 245040120. Its totient is φ = 39345152.

The previous prime is 101878157. The next prime is 101878169. The reversal of 101878160 is 61878101.

It can be written as a sum of positive squares in 4 ways, for example, as 21381376 + 80496784 = 4624^2 + 8972^2 .

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

It is not an unprimeable number, because it can be changed into a prime (101878169) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19637 + ... + 24276.

It is an arithmetic number, because the mean of its divisors is an integer number (6126003).

Almost surely, 2^101878160 is an apocalyptic number.

101878160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101878160 is an abundant number, since it is smaller than the sum of its proper divisors (143161960).

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

101878160 is a wasteful number, since it uses less digits than its factorization.

101878160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43955 (or 43949 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 32.

The square root of 101878160 is about 10093.4711571392. The cubic root of 101878160 is about 467.0467606291.

The spelling of 101878160 in words is "one hundred one million, eight hundred seventy-eight thousand, one hundred sixty".