106634880 has 480 divisors, whose sum is σ = 443201220. Its totient is φ = 24330240.

The previous prime is 106634867. The next prime is 106634903. The reversal of 106634880 is 88436601.

It is a happy number.

106634880 is a `hidden beast` number, since 10 + 6 + 634 + 8 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 106007616 + 627264 = 10296^2 + 792^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×106634880² = 22741995265228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6272632 + ... + 6272648.

Almost surely, 2^106634880 is an apocalyptic number.

106634880 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 106634880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221600610).

106634880 is an abundant number, since it is smaller than the sum of its proper divisors (336566340).

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

106634880 is a wasteful number, since it uses less digits than its factorization.

106634880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 106634880 is about 10326.4166098410. The cubic root of 106634880 is about 474.2053268426.

The spelling of 106634880 in words is "one hundred six million, six hundred thirty-four thousand, eight hundred eighty".