106691880 has 64 divisors (see below), whose sum is σ = 326903040. Its totient is φ = 27844352.

The previous prime is 106691873. The next prime is 106691891. The reversal of 106691880 is 88196601.

106691880 = T₄₂₅ + T₄₂₆ + ... + T₈₉₄.

It is a super-2 number, since 2×106691880² = 22766314515868800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3819 + ... + 15098.

It is an arithmetic number, because the mean of its divisors is an integer number (5107860).

Almost surely, 2^106691880 is an apocalyptic number.

106691880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106691880 is an abundant number, since it is smaller than the sum of its proper divisors (220211160).

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

106691880 is a wasteful number, since it uses less digits than its factorization.

106691880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18978 (or 18974 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 39.

The square root of 106691880 is about 10329.1761530143. The cubic root of 106691880 is about 474.2898047951.

The spelling of 106691880 in words is "one hundred six million, six hundred ninety-one thousand, eight hundred eighty".