101677440 has 64 divisors (see below), whose sum is σ = 324102960. Its totient is φ = 27113472.

The previous prime is 101677409. The next prime is 101677453. The reversal of 101677440 is 44776101.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 101677398 and 101677407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24559 + ... + 28398.

Almost surely, 2^101677440 is an apocalyptic number.

101677440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101677440 is an abundant number, since it is smaller than the sum of its proper divisors (222425520).

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

101677440 is an equidigital number, since it uses as much as digits as its factorization.

101677440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52979 (or 52967 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 101677440 is about 10083.5231938048. The cubic root of 101677440 is about 466.7398343326.

The spelling of 101677440 in words is "one hundred one million, six hundred seventy-seven thousand, four hundred forty".