101351664 has 60 divisors (see below), whose sum is σ = 285514216. Its totient is φ = 33561216.

The previous prime is 101351651. The next prime is 101351669. The reversal of 101351664 is 466153101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101351669) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20367 + ... + 24849.

Almost surely, 2^101351664 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 101351664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142757108).

101351664 is an abundant number, since it is smaller than the sum of its proper divisors (184162552).

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

101351664 is a wasteful number, since it uses less digits than its factorization.

101351664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4654 (or 4645 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 101351664 is about 10067.3563560649. The cubic root of 101351664 is about 466.2408205923.

The spelling of 101351664 in words is "one hundred one million, three hundred fifty-one thousand, six hundred sixty-four".