101878960 has 80 divisors (see below), whose sum is σ = 261786816. Its totient is φ = 36675584.

The previous prime is 101878951. The next prime is 101878963. The reversal of 101878960 is 69878101.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (101878963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29652 + ... + 32908.

Almost surely, 2^101878960 is an apocalyptic number.

101878960 is a gapful number since it is divisible by the number (10) 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 101878960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130893408).

101878960 is an abundant number, since it is smaller than the sum of its proper divisors (159907856).

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

101878960 is a wasteful number, since it uses less digits than its factorization.

101878960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3310 (or 3304 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 40.

The square root of 101878960 is about 10093.5107866391. The cubic root of 101878960 is about 467.0479831235.

The spelling of 101878960 in words is "one hundred one million, eight hundred seventy-eight thousand, nine hundred sixty".