107428263600 has 240 divisors, whose sum is σ = 396901303040. Its totient is φ = 24329548800.

The previous prime is 107428263589. The next prime is 107428263601. The reversal of 107428263600 is 6362824701.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×107428263600² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107428263601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 856935 + ... + 974265.

Almost surely, 2^107428263600 is an apocalyptic number.

107428263600 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 107428263600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198450651520).

107428263600 is an abundant number, since it is smaller than the sum of its proper divisors (289473039440).

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

107428263600 is a wasteful number, since it uses less digits than its factorization.

107428263600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117468 (or 117457 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The spelling of 107428263600 in words is "one hundred seven billion, four hundred twenty-eight million, two hundred sixty-three thousand, six hundred".