101678880 has 96 divisors (see below), whose sum is σ = 337176000. Its totient is φ = 25684992.

The previous prime is 101678879. The next prime is 101678891. The reversal of 101678880 is 88876101.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3546 + ... + 14694.

It is an arithmetic number, because the mean of its divisors is an integer number (3512250).

Almost surely, 2^101678880 is an apocalyptic number.

101678880 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 101678880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168588000).

101678880 is an abundant number, since it is smaller than the sum of its proper divisors (235497120).

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

101678880 is a wasteful number, since it uses less digits than its factorization.

101678880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11186 (or 11178 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 39.

The square root of 101678880 is about 10083.5945971662. The cubic root of 101678880 is about 466.7420377128.

The spelling of 101678880 in words is "one hundred one million, six hundred seventy-eight thousand, eight hundred eighty".