101363460 has 96 divisors (see below), whose sum is σ = 312681600. Its totient is φ = 24330240.

The previous prime is 101363453. The next prime is 101363473. The reversal of 101363460 is 64363101.

It is a self number, because there is not a number n which added to its sum of digits gives 101363460.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71236 + ... + 72644.

It is an arithmetic number, because the mean of its divisors is an integer number (3257100).

Almost surely, 2^101363460 is an apocalyptic number.

101363460 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 101363460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156340800).

101363460 is an abundant number, since it is smaller than the sum of its proper divisors (211318140).

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

101363460 is a wasteful number, since it uses less digits than its factorization.

101363460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1541 (or 1539 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 101363460 is about 10067.9421929211. The cubic root of 101363460 is about 466.2589079894.

The spelling of 101363460 in words is "one hundred one million, three hundred sixty-three thousand, four hundred sixty".