106772932 has 48 divisors (see below), whose sum is σ = 225792000. Its totient is φ = 43157664.

The previous prime is 106772927. The next prime is 106772933. The reversal of 106772932 is 239277601.

It is a super-2 number, since 2×106772932² = 22800918015753248, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106772891 and 106772900.

It is not an unprimeable number, because it can be changed into a prime (106772933) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 222669 + ... + 223147.

It is an arithmetic number, because the mean of its divisors is an integer number (4704000).

Almost surely, 2^106772932 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 106772932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112896000).

106772932 is an abundant number, since it is smaller than the sum of its proper divisors (119019068).

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

106772932 is a wasteful number, since it uses less digits than its factorization.

106772932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 928 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 37.

The square root of 106772932 is about 10333.0988575548. The cubic root of 106772932 is about 474.4098776839.

The spelling of 106772932 in words is "one hundred six million, seven hundred seventy-two thousand, nine hundred thirty-two".