106072638 has 64 divisors (see below), whose sum is σ = 252039168. Its totient is φ = 29122560.

The previous prime is 106072613. The next prime is 106072657. The reversal of 106072638 is 836270601.

It is a super-2 number, since 2×106072638² = 22502809064558088, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106072599 and 106072608.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 334456 + ... + 334772.

It is an arithmetic number, because the mean of its divisors is an integer number (3938112).

Almost surely, 2^106072638 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106072638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126019584).

106072638 is an abundant number, since it is smaller than the sum of its proper divisors (145966530).

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

106072638 is a wasteful number, since it uses less digits than its factorization.

106072638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617.

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 106072638 is about 10299.1571499808. The cubic root of 106072638 is about 473.3704276733.

The spelling of 106072638 in words is "one hundred six million, seventy-two thousand, six hundred thirty-eight".