102501306400 has 144 divisors (see below), whose sum is σ = 264746180160. Its totient is φ = 38644300800.

The previous prime is 102501306379. The next prime is 102501306409. The reversal of 102501306400 is 4603105201.

It is not an unprimeable number, because it can be changed into a prime (102501306409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2977285 + ... + 3011515.

It is an arithmetic number, because the mean of its divisors is an integer number (1838515140).

Almost surely, 2^102501306400 is an apocalyptic number.

102501306400 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 102501306400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132373090080).

102501306400 is an abundant number, since it is smaller than the sum of its proper divisors (162244873760).

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

102501306400 is a wasteful number, since it uses less digits than its factorization.

102501306400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34467 (or 34454 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The spelling of 102501306400 in words is "one hundred two billion, five hundred one million, three hundred six thousand, four hundred".