101361504 has 96 divisors (see below), whose sum is σ = 284981760. Its totient is φ = 31449600.

The previous prime is 101361499. The next prime is 101361521. The reversal of 101361504 is 405163101.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 110809 + ... + 111719.

It is an arithmetic number, because the mean of its divisors is an integer number (2968560).

Almost surely, 2^101361504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101361504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142490880).

101361504 is an abundant number, since it is smaller than the sum of its proper divisors (183620256).

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

101361504 is a wasteful number, since it uses less digits than its factorization.

101361504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004 (or 996 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 101361504 is about 10067.8450524430. The cubic root of 101361504 is about 466.2559088538.

The spelling of 101361504 in words is "one hundred one million, three hundred sixty-one thousand, five hundred four".