101862560 has 48 divisors (see below), whose sum is σ = 241346952. Its totient is φ = 40627200.

The previous prime is 101862539. The next prime is 101862569. The reversal of 101862560 is 65268101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 71436304 + 30426256 = 8452^2 + 5516^2 .

It is a super-2 number, since 2×101862560² = 20751962259507200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101862569) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73070 + ... + 74450.

Almost surely, 2^101862560 is an apocalyptic number.

101862560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101862560 is an abundant number, since it is smaller than the sum of its proper divisors (139484392).

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

101862560 is a wasteful number, since it uses less digits than its factorization.

101862560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1857 (or 1849 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

The square root of 101862560 is about 10092.6983507881. The cubic root of 101862560 is about 467.0229207097.

The spelling of 101862560 in words is "one hundred one million, eight hundred sixty-two thousand, five hundred sixty".