103092753792 has 256 divisors, whose sum is σ = 318392755200. Its totient is φ = 28946792448.

The previous prime is 103092753779. The next prime is 103092753811. The reversal of 103092753792 is 297357290301.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66126709 + ... + 66128267.

It is an arithmetic number, because the mean of its divisors is an integer number (1243721700).

Almost surely, 2^103092753792 is an apocalyptic number.

103092753792 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 103092753792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159196377600).

103092753792 is an abundant number, since it is smaller than the sum of its proper divisors (215300001408).

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

103092753792 is a wasteful number, since it uses less digits than its factorization.

103092753792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1993 (or 1981 counting only the distinct ones).

The product of its (nonzero) digits is 714420, while the sum is 48.

The spelling of 103092753792 in words is "one hundred three billion, ninety-two million, seven hundred fifty-three thousand, seven hundred ninety-two".