106956480 has 112 divisors (see below), whose sum is σ = 347618304. Its totient is φ = 27847680.

The previous prime is 106956467. The next prime is 106956481. The reversal of 106956480 is 84659601.

It is a super-2 number, since 2×106956480² = 22879377227980800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106956481) 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, 39985 + ... + 42575.

Almost surely, 2^106956480 is an apocalyptic number.

106956480 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 106956480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173809152).

106956480 is an abundant number, since it is smaller than the sum of its proper divisors (240661824).

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

106956480 is a wasteful number, since it uses less digits than its factorization.

106956480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2654 (or 2644 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 106956480 is about 10341.9766002443. The cubic root of 106956480 is about 474.6815668147.

The spelling of 106956480 in words is "one hundred six million, nine hundred fifty-six thousand, four hundred eighty".