103513786090 has 256 divisors, whose sum is σ = 233532149760. Its totient is φ = 32707584000.

The previous prime is 103513786081. The next prime is 103513786091. The reversal of 103513786090 is 90687315301.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (103513786091) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 307162402 + ... + 307162738.

It is an arithmetic number, because the mean of its divisors is an integer number (912234960).

Almost surely, 2^103513786090 is an apocalyptic number.

103513786090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

103513786090 is an abundant number, since it is smaller than the sum of its proper divisors (130018363670).

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

103513786090 is a wasteful number, since it uses less digits than its factorization.

103513786090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 43.

The spelling of 103513786090 in words is "one hundred three billion, five hundred thirteen million, seven hundred eighty-six thousand, ninety".