101412164 has 36 divisors (see below), whose sum is σ = 207104940. Its totient is φ = 43323840.

The previous prime is 101412151. The next prime is 101412173. The reversal of 101412164 is 461214101.

It can be written as a sum of positive squares in 2 ways, for example, as 48413764 + 52998400 = 6958^2 + 7280^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81902 + ... + 83130.

It is an arithmetic number, because the mean of its divisors is an integer number (5752915).

Almost surely, 2^101412164 is an apocalyptic number.

101412164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

101412164 is an abundant number, since it is smaller than the sum of its proper divisors (105692776).

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

101412164 is a wasteful number, since it uses less digits than its factorization.

101412164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1668 (or 1659 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 101412164 is about 10070.3606688142. The cubic root of 101412164 is about 466.3335734153. Note that the first 3 decimals are identical.

Adding to 101412164 its reverse (461214101), we get a palindrome (562626265).

The spelling of 101412164 in words is "one hundred one million, four hundred twelve thousand, one hundred sixty-four".