106996560 has 80 divisors (see below), whose sum is σ = 361851840. Its totient is φ = 25937920.

The previous prime is 106996541. The next prime is 106996567. The reversal of 106996560 is 65699601.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×106996560² = 22896527703667200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106996567) 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, 17625 + ... + 22904.

It is an arithmetic number, because the mean of its divisors is an integer number (4523148).

Almost surely, 2^106996560 is an apocalyptic number.

106996560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106996560 is an abundant number, since it is smaller than the sum of its proper divisors (254855280).

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

106996560 is a wasteful number, since it uses less digits than its factorization.

106996560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40556 (or 40550 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 42.

The square root of 106996560 is about 10343.9141527760. The cubic root of 106996560 is about 474.7408521778.

The spelling of 106996560 in words is "one hundred six million, nine hundred ninety-six thousand, five hundred sixty".