107025408 has 264 divisors, whose sum is σ = 373372800. Its totient is φ = 30191616.

The previous prime is 107025407. The next prime is 107025427. The reversal of 107025408 is 804520701.

It is a super-2 number, since 2×107025408² = 22908875915132928, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107025403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1354713 + ... + 1354791.

Almost surely, 2^107025408 is an apocalyptic number.

107025408 is a gapful number since it is divisible by the number (18) 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 107025408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186686400).

107025408 is an abundant number, since it is smaller than the sum of its proper divisors (266347392).

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

107025408 is an equidigital number, since it uses as much as digits as its factorization.

107025408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 107025408 is about 10345.3085019249. The cubic root of 107025408 is about 474.7835142766.

It can be divided in two parts, 10702 and 5408, that added together give a triangular number (16110 = T₁₇₉).

The spelling of 107025408 in words is "one hundred seven million, twenty-five thousand, four hundred eight".