101106964 has 24 divisors (see below), whose sum is σ = 206519040. Its totient is φ = 42409056.

The previous prime is 101106913. The next prime is 101106989. The reversal of 101106964 is 469601101.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37099 + ... + 39730.

It is an arithmetic number, because the mean of its divisors is an integer number (8604960).

Almost surely, 2^101106964 is an apocalyptic number.

101106964 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

101106964 is an abundant number, since it is smaller than the sum of its proper divisors (105412076).

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

101106964 is a wasteful number, since it uses less digits than its factorization.

101106964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76887 (or 76885 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 101106964 is about 10055.1958707924. The cubic root of 101106964 is about 465.8652928990.

The spelling of 101106964 in words is "one hundred one million, one hundred six thousand, nine hundred sixty-four".