101486560 has 192 divisors, whose sum is σ = 294174720. Its totient is φ = 32348160.

The previous prime is 101486537. The next prime is 101486587. The reversal of 101486560 is 65684101.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1284601 + ... + 1284679.

It is an arithmetic number, because the mean of its divisors is an integer number (1532160).

Almost surely, 2^101486560 is an apocalyptic number.

101486560 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 101486560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147087360).

101486560 is an abundant number, since it is smaller than the sum of its proper divisors (192688160).

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

101486560 is a wasteful number, since it uses less digits than its factorization.

101486560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 101486560 is about 10074.0538017225. The cubic root of 101486560 is about 466.4475797006.

The spelling of 101486560 in words is "one hundred one million, four hundred eighty-six thousand, five hundred sixty".