106777370 has 48 divisors (see below), whose sum is σ = 224570880. Its totient is φ = 36447264.

The previous prime is 106777369. The next prime is 106777417. The reversal of 106777370 is 73777601.

It is a super-2 number, since 2×106777370² = 22802813488233800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 175607 + ... + 176213.

It is an arithmetic number, because the mean of its divisors is an integer number (4678560).

Almost surely, 2^106777370 is an apocalyptic number.

106777370 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106777370 is an abundant number, since it is smaller than the sum of its proper divisors (117793510).

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

106777370 is a wasteful number, since it uses less digits than its factorization.

106777370 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 987 (or 980 counting only the distinct ones).

The product of its (nonzero) digits is 43218, while the sum is 38.

The square root of 106777370 is about 10333.3136021317. The cubic root of 106777370 is about 474.4164505167.

The spelling of 106777370 in words is "one hundred six million, seven hundred seventy-seven thousand, three hundred seventy".