106978560 has 144 divisors (see below), whose sum is σ = 368116224. Its totient is φ = 26320896.

The previous prime is 106978559. The next prime is 106978579. The reversal of 106978560 is 65879601.

It is a super-2 number, since 2×106978560² = 22888824599347200, which contains 22 as substring.

It is a congruent number.

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, 48849 + ... + 50991.

Almost surely, 2^106978560 is an apocalyptic number.

106978560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106978560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184058112).

106978560 is an abundant number, since it is smaller than the sum of its proper divisors (261137664).

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

106978560 is a wasteful number, since it uses less digits than its factorization.

106978560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2180 (or 2166 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 106978560 is about 10343.0440393532. The cubic root of 106978560 is about 474.7142288465.

The spelling of 106978560 in words is "one hundred six million, nine hundred seventy-eight thousand, five hundred sixty".