106159760 has 80 divisors (see below), whose sum is σ = 283481856. Its totient is φ = 36217344.

The previous prime is 106159759. The next prime is 106159799. The reversal of 106159760 is 67951601.

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

It is a super-2 number, since 2×106159760² = 22539789286515200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 106159760.

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, 163757 + ... + 164403.

Almost surely, 2^106159760 is an apocalyptic number.

106159760 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 106159760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141740928).

106159760 is an abundant number, since it is smaller than the sum of its proper divisors (177322096).

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

106159760 is a wasteful number, since it uses less digits than its factorization.

106159760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 35.

The square root of 106159760 is about 10303.3858512627. The cubic root of 106159760 is about 473.4999920087.

The spelling of 106159760 in words is "one hundred six million, one hundred fifty-nine thousand, seven hundred sixty".