101054564 has 18 divisors (see below), whose sum is σ = 191496690. Its totient is φ = 46640256.

The previous prime is 101054563. The next prime is 101054567. The reversal of 101054564 is 465450101.

It can be written as a sum of positive squares in 3 ways, for example, as 4032064 + 97022500 = 2008^2 + 9850^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101054561) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 74069 + ... + 75420.

It is an arithmetic number, because the mean of its divisors is an integer number (10638705).

Almost surely, 2^101054564 is an apocalyptic number.

It is an amenable number.

101054564 is a deficient number, since it is larger than the sum of its proper divisors (90442126).

101054564 is a wasteful number, since it uses less digits than its factorization.

101054564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149519 (or 149504 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 101054564 is about 10052.5899150418. The cubic root of 101054564 is about 465.7847987413.

The spelling of 101054564 in words is "one hundred one million, fifty-four thousand, five hundred sixty-four".