107761632 has 72 divisors (see below), whose sum is σ = 310961448. Its totient is φ = 32651520.

The previous prime is 107761613. The next prime is 107761663. The reversal of 107761632 is 236167701.

It is a super-2 number, since 2×107761632² = 23225138662606848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 107761593 and 107761602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6978 + ... + 16254.

It is an arithmetic number, because the mean of its divisors is an integer number (4318909).

Almost surely, 2^107761632 is an apocalyptic number.

107761632 is a gapful number since it is divisible by the number (12) 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 107761632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155480724).

107761632 is an abundant number, since it is smaller than the sum of its proper divisors (203199816).

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

107761632 is a wasteful number, since it uses less digits than its factorization.

107761632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9312 (or 9293 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 107761632 is about 10380.8300246175. The cubic root of 107761632 is about 475.8697004650.

The spelling of 107761632 in words is "one hundred seven million, seven hundred sixty-one thousand, six hundred thirty-two".