106007972 has 72 divisors (see below), whose sum is σ = 226759680. Its totient is φ = 43182720.

The previous prime is 106007953. The next prime is 106007977. The reversal of 106007972 is 279700601.

It is a super-2 number, since 2×106007972² = 22475380255105568, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106007977) 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, 443429 + ... + 443667.

It is an arithmetic number, because the mean of its divisors is an integer number (3149440).

Almost surely, 2^106007972 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 106007972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113379840).

106007972 is an abundant number, since it is smaller than the sum of its proper divisors (120751708).

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

106007972 is a wasteful number, since it uses less digits than its factorization.

106007972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 32.

The square root of 106007972 is about 10296.0172882528. The cubic root of 106007972 is about 473.2742131191.

The spelling of 106007972 in words is "one hundred six million, seven thousand, nine hundred seventy-two".