106235760 has 160 divisors (see below), whose sum is σ = 345692160. Its totient is φ = 26956800.

The previous prime is 106235749. The next prime is 106235761. The reversal of 106235760 is 67532601.

It is a super-2 number, since 2×106235760² = 22572073405555200, 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 (106235761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 810895 + ... + 811025.

It is an arithmetic number, because the mean of its divisors is an integer number (2160576).

Almost surely, 2^106235760 is an apocalyptic number.

106235760 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 106235760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172846080).

106235760 is an abundant number, since it is smaller than the sum of its proper divisors (239456400).

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

106235760 is a wasteful number, since it uses less digits than its factorization.

106235760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 106235760 is about 10307.0732994386. The cubic root of 106235760 is about 473.6129582755.

The spelling of 106235760 in words is "one hundred six million, two hundred thirty-five thousand, seven hundred sixty".