106737972 has 144 divisors (see below), whose sum is σ = 297622080. Its totient is φ = 29652480.

The previous prime is 106737971. The next prime is 106737977. The reversal of 106737972 is 279737601.

It is a super-2 number, since 2×106737972² = 22785989333345568, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106737971) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1462128 + ... + 1462200.

It is an arithmetic number, because the mean of its divisors is an integer number (2066820).

Almost surely, 2^106737972 is an apocalyptic number.

106737972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106737972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148811040).

106737972 is an abundant number, since it is smaller than the sum of its proper divisors (190884108).

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

106737972 is a wasteful number, since it uses less digits than its factorization.

106737972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 111132, while the sum is 42.

The square root of 106737972 is about 10331.4070677716. The cubic root of 106737972 is about 474.3580943356.

The spelling of 106737972 in words is "one hundred six million, seven hundred thirty-seven thousand, nine hundred seventy-two".