101353560 has 192 divisors, whose sum is σ = 386104320. Its totient is φ = 21047040.

The previous prime is 101353547. The next prime is 101353583. The reversal of 101353560 is 65353101.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 101353560.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63897 + ... + 65463.

It is an arithmetic number, because the mean of its divisors is an integer number (2010960).

Almost surely, 2^101353560 is an apocalyptic number.

101353560 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 101353560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193052160).

101353560 is an abundant number, since it is smaller than the sum of its proper divisors (284750760).

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

101353560 is a wasteful number, since it uses less digits than its factorization.

101353560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1606 (or 1595 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 24.

The square root of 101353560 is about 10067.4505213584. The cubic root of 101353560 is about 466.2437279187.

It can be divided in two parts, 10135 and 3560, that added together give a triangular number (13695 = T₁₆₅).

The spelling of 101353560 in words is "one hundred one million, three hundred fifty-three thousand, five hundred sixty".