101436613164 has 72 divisors (see below), whose sum is σ = 262263787968. Its totient is φ = 33042366720.

The previous prime is 101436613097. The next prime is 101436613169. The reversal of 101436613164 is 461316634101.

101436613164 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 36 + 613 + 1 + 6 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (101436613169) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1073064 + ... + 1163760.

Almost surely, 2^101436613164 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 101436613164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131131893984).

101436613164 is an abundant number, since it is smaller than the sum of its proper divisors (160827174804).

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

101436613164 is a wasteful number, since it uses less digits than its factorization.

101436613164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91415 (or 91410 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 101436613164 in words is "one hundred one billion, four hundred thirty-six million, six hundred thirteen thousand, one hundred sixty-four".