106714560 has 112 divisors (see below), whose sum is σ = 342900000. Its totient is φ = 28114944.

The previous prime is 106714547. The next prime is 106714567. The reversal of 106714560 is 65417601.

It is a super-2 number, since 2×106714560² = 22775994631987200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106714567) 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, 84816 + ... + 86064.

Almost surely, 2^106714560 is an apocalyptic number.

106714560 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 106714560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171450000).

106714560 is an abundant number, since it is smaller than the sum of its proper divisors (236185440).

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

106714560 is a wasteful number, since it uses less digits than its factorization.

106714560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1358 (or 1348 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 106714560 is about 10330.2739557090. The cubic root of 106714560 is about 474.3234097600.

The spelling of 106714560 in words is "one hundred six million, seven hundred fourteen thousand, five hundred sixty".