101287560 has 64 divisors (see below), whose sum is σ = 331490880. Its totient is φ = 24554240.

The previous prime is 101287553. The next prime is 101287567. The reversal of 101287560 is 65782101.

It is an interprime number because it is at equal distance from previous prime (101287553) and next prime (101287567).

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

It is not an unprimeable number, because it can be changed into a prime (101287567) 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, 37047 + ... + 39686.

It is an arithmetic number, because the mean of its divisors is an integer number (5179545).

Almost surely, 2^101287560 is an apocalyptic number.

101287560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101287560 is an abundant number, since it is smaller than the sum of its proper divisors (230203320).

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

101287560 is a wasteful number, since it uses less digits than its factorization.

101287560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76758 (or 76754 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 101287560 is about 10064.1720970977. The cubic root of 101287560 is about 466.1425021768.

It can be divided in two parts, 101 and 287560, that added together give a triangular number (287661 = T₇₅₈).

The spelling of 101287560 in words is "one hundred one million, two hundred eighty-seven thousand, five hundred sixty".