106112970 has 64 divisors (see below), whose sum is σ = 285690240. Its totient is φ = 28024704.

The previous prime is 106112933. The next prime is 106112971. The reversal of 106112970 is 79211601.

It is a super-2 number, since 2×106112970² = 22519924804441800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (106112971) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27054 + ... + 30726.

It is an arithmetic number, because the mean of its divisors is an integer number (4463910).

Almost surely, 2^106112970 is an apocalyptic number.

106112970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106112970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142845120).

106112970 is an abundant number, since it is smaller than the sum of its proper divisors (179577270).

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

106112970 is a wasteful number, since it uses less digits than its factorization.

106112970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3796 (or 3790 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The square root of 106112970 is about 10301.1149881942. The cubic root of 106112970 is about 473.4304166179.

The spelling of 106112970 in words is "one hundred six million, one hundred twelve thousand, nine hundred seventy".