103867925616 has 480 divisors, whose sum is σ = 377778945600. Its totient is φ = 27079557120.

The previous prime is 103867925597. The next prime is 103867925627. The reversal of 103867925616 is 616529768301.

103867925616 is a `hidden beast` number, since 1 + 0 + 3 + 8 + 6 + 79 + 2 + 561 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24489256 + ... + 24493496.

It is an arithmetic number, because the mean of its divisors is an integer number (787039470).

Almost surely, 2^103867925616 is an apocalyptic number.

103867925616 is a gapful number since it is divisible by the number (16) 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 103867925616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188889472800).

103867925616 is an abundant number, since it is smaller than the sum of its proper divisors (273911019984).

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

103867925616 is a wasteful number, since it uses less digits than its factorization.

103867925616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4374 (or 4355 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 103867925616 in words is "one hundred three billion, eight hundred sixty-seven million, nine hundred twenty-five thousand, six hundred sixteen".