101070464 has 64 divisors (see below), whose sum is σ = 229279680. Its totient is φ = 43929600.

The previous prime is 101070451. The next prime is 101070479. The reversal of 101070464 is 464070101.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (23).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30824 + ... + 33944.

It is an arithmetic number, because the mean of its divisors is an integer number (3582495).

Almost surely, 2^101070464 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 101070464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114639840).

101070464 is an abundant number, since it is smaller than the sum of its proper divisors (128209216).

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

101070464 is a wasteful number, since it uses less digits than its factorization.

101070464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3169 (or 3157 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 101070464 is about 10053.3807249104. The cubic root of 101070464 is about 465.8092264353.

The spelling of 101070464 in words is "one hundred one million, seventy thousand, four hundred sixty-four".