103307387040 has 1152 divisors, whose sum is σ = 455189559552. Its totient is φ = 21737963520.

The previous prime is 103307387003. The next prime is 103307387041. The reversal of 103307387040 is 40783703301.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 103307386986 and 103307387004.

It is not an unprimeable number, because it can be changed into a prime (103307387041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 94516734 + ... + 94517826.

It is an arithmetic number, because the mean of its divisors is an integer number (395129826).

Almost surely, 2^103307387040 is an apocalyptic number.

103307387040 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 103307387040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227594779776).

103307387040 is an abundant number, since it is smaller than the sum of its proper divisors (351882172512).

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

103307387040 is a wasteful number, since it uses less digits than its factorization.

103307387040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1164 (or 1144 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 103307387040 in words is "one hundred three billion, three hundred seven million, three hundred eighty-seven thousand, forty".