106736772 has 24 divisors (see below), whose sum is σ = 249219936. Its totient is φ = 35555008.

The previous prime is 106736759. The next prime is 106736797. The reversal of 106736772 is 277637601.

It is a super-2 number, since 2×106736772² = 22785476993959968, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106736772.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31723 + ... + 34925.

It is an arithmetic number, because the mean of its divisors is an integer number (10384164).

Almost surely, 2^106736772 is an apocalyptic number.

106736772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106736772 is an abundant number, since it is smaller than the sum of its proper divisors (142483164).

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

106736772 is a wasteful number, since it uses less digits than its factorization.

106736772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5987 (or 5985 counting only the distinct ones).

The product of its (nonzero) digits is 74088, while the sum is 39.

The square root of 106736772 is about 10331.3489922662. The cubic root of 106736772 is about 474.3563166744.

The spelling of 106736772 in words is "one hundred six million, seven hundred thirty-six thousand, seven hundred seventy-two".