101196864 has 126 divisors (see below), whose sum is σ = 302453294. Its totient is φ = 33592320.

The previous prime is 101196853. The next prime is 101196871. The reversal of 101196864 is 468691101.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 94478400 + 6718464 = 9720^2 + 2592^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 419784 + ... + 420024.

Almost surely, 2^101196864 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 101196864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151226647).

101196864 is an abundant number, since it is smaller than the sum of its proper divisors (201256430).

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

101196864 is an frugal number, since it uses more digits than its factorization.

101196864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 101196864 is about 10059.6652031765. The cubic root of 101196864 is about 466.0033278450.

The spelling of 101196864 in words is "one hundred one million, one hundred ninety-six thousand, eight hundred sixty-four".