101687440 has 80 divisors (see below), whose sum is σ = 246698496. Its totient is φ = 38937600.

The previous prime is 101687419. The next prime is 101687459. The reversal of 101687440 is 44786101.

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 (31).

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, 324724 + ... + 325036.

Almost surely, 2^101687440 is an apocalyptic number.

101687440 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 101687440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123349248).

101687440 is an abundant number, since it is smaller than the sum of its proper divisors (145011056).

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

101687440 is a wasteful number, since it uses less digits than its factorization.

101687440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 31.

The square root of 101687440 is about 10084.0190400455. The cubic root of 101687440 is about 466.7551351549.

The spelling of 101687440 in words is "one hundred one million, six hundred eighty-seven thousand, four hundred forty".