100061664 has 24 divisors (see below), whose sum is σ = 262662120. Its totient is φ = 33353856.

The previous prime is 100061659. The next prime is 100061669. The reversal of 100061664 is 466160001.

It is an interprime number because it is at equal distance from previous prime (100061659) and next prime (100061669).

It is a tau number, because it is divible by the number of its divisors (24).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100061669) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 521059 + ... + 521250.

It is an arithmetic number, because the mean of its divisors is an integer number (10944255).

Almost surely, 2^100061664 is an apocalyptic number.

It is an amenable number.

100061664 is an abundant number, since it is smaller than the sum of its proper divisors (162600456).

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

100061664 is a wasteful number, since it uses less digits than its factorization.

100061664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042322 (or 1042314 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 100061664 is about 10003.0827248404. The cubic root of 100061664 is about 464.2542700688.

The spelling of 100061664 in words is "one hundred million, sixty-one thousand, six hundred sixty-four".