106702920 has 80 divisors (see below), whose sum is σ = 358651260. Its totient is φ = 28453248.

The previous prime is 106702913. The next prime is 106702943. The reversal of 106702920 is 29207601.

It can be written as a sum of positive squares in 2 ways, for example, as 94128804 + 12574116 = 9702^2 + 3546^2 .

It is a super-2 number, since 2×106702920² = 22771026273052800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13227 + ... + 19706.

Almost surely, 2^106702920 is an apocalyptic number.

106702920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106702920 is an abundant number, since it is smaller than the sum of its proper divisors (251948340).

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

106702920 is a wasteful number, since it uses less digits than its factorization.

106702920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32956 (or 32943 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 106702920 is about 10329.7105477356. The cubic root of 106702920 is about 474.3061633622.

The spelling of 106702920 in words is "one hundred six million, seven hundred two thousand, nine hundred twenty".