101064100 has 36 divisors (see below), whose sum is σ = 223985664. Its totient is φ = 39563680.

The previous prime is 101064083. The next prime is 101064113. The reversal of 101064100 is 1460101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6052 + ... + 15451.

It is an arithmetic number, because the mean of its divisors is an integer number (6221824).

Almost surely, 2^101064100 is an apocalyptic number.

101064100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101064100 is an abundant number, since it is smaller than the sum of its proper divisors (122921564).

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

101064100 is a wasteful number, since it uses less digits than its factorization.

101064100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21564 (or 21557 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 101064100 is about 10053.0642094836. The cubic root of 101064100 is about 465.7994495199.

The spelling of 101064100 in words is "one hundred one million, sixty-four thousand, one hundred".