107154432 has 264 divisors, whose sum is σ = 388307712. Its totient is φ = 27648000.

The previous prime is 107154427. The next prime is 107154461. The reversal of 107154432 is 234451701.

It is a tau number, because it is divible by the number of its divisors (264).

It is a super-2 number, since 2×107154432² = 22964144594485248, which contains 22 as substring.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 107154396 and 107154405.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 709557 + ... + 709707.

Almost surely, 2^107154432 is an apocalyptic number.

107154432 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 107154432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194153856).

107154432 is an abundant number, since it is smaller than the sum of its proper divisors (281153280).

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

107154432 is a wasteful number, since it uses less digits than its factorization.

107154432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 107154432 is about 10351.5424937543. The cubic root of 107154432 is about 474.9742287034.

The spelling of 107154432 in words is "one hundred seven million, one hundred fifty-four thousand, four hundred thirty-two".