101164512 has 96 divisors (see below), whose sum is σ = 287280000. Its totient is φ = 31062528.

The previous prime is 101164489. The next prime is 101164519. The reversal of 101164512 is 215461101.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101164519) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66739 + ... + 68237.

It is an arithmetic number, because the mean of its divisors is an integer number (2992500).

Almost surely, 2^101164512 is an apocalyptic number.

101164512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101164512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143640000).

101164512 is an abundant number, since it is smaller than the sum of its proper divisors (186115488).

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

101164512 is a wasteful number, since it uses less digits than its factorization.

101164512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1568 (or 1560 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 101164512 is about 10058.0570688379. The cubic root of 101164512 is about 465.9536631092.

The spelling of 101164512 in words is "one hundred one million, one hundred sixty-four thousand, five hundred twelve".