106793520 has 80 divisors (see below), whose sum is σ = 339165792. Its totient is φ = 27781120.

The previous prime is 106793501. The next prime is 106793551. The reversal of 106793520 is 25397601.

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

It is a super-2 number, since 2×106793520² = 22809711827980800, 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, 4414 + ... + 15266.

Almost surely, 2^106793520 is an apocalyptic number.

106793520 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 106793520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169582896).

106793520 is an abundant number, since it is smaller than the sum of its proper divisors (232372272).

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

106793520 is a wasteful number, since it uses less digits than its factorization.

106793520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10910 (or 10904 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 106793520 is about 10334.0950256904. The cubic root of 106793520 is about 474.4403676926.

The spelling of 106793520 in words is "one hundred six million, seven hundred ninety-three thousand, five hundred twenty".