106051560 has 32 divisors (see below), whose sum is σ = 318155040. Its totient is φ = 28280384.

The previous prime is 106051537. The next prime is 106051571. The reversal of 106051560 is 65150601.

It is a super-2 number, since 2×106051560² = 22493866756867200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 106051560.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 441762 + ... + 442001.

It is an arithmetic number, because the mean of its divisors is an integer number (9942345).

Almost surely, 2^106051560 is an apocalyptic number.

106051560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106051560 is an abundant number, since it is smaller than the sum of its proper divisors (212103480).

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

106051560 is a wasteful number, since it uses less digits than its factorization.

106051560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 883777 (or 883773 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 106051560 is about 10298.1338115214. The cubic root of 106051560 is about 473.3390706616.

The spelling of 106051560 in words is "one hundred six million, fifty-one thousand, five hundred sixty".