103700770007040 has 240 divisors, whose sum is σ = 371695699114740. Its totient is φ = 27653538447360.

The previous prime is 103700770007017. The next prime is 103700770007041. The reversal of 103700770007040 is 40700077007301.

It can be written as a sum of positive squares in 2 ways, for example, as 89250797085696 + 14449972921344 = 9447264^2 + 3801312^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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 = 103700770006986 and 103700770007004.

It is not an unprimeable number, because it can be changed into a prime (103700770007041) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 61683081 + ... + 63341960.

Almost surely, 2^{103700770007040} is an apocalyptic number.

103700770007040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103700770007040 is an abundant number, since it is smaller than the sum of its proper divisors (267994929107700).

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

103700770007040 is an equidigital number, since it uses as much as digits as its factorization.

103700770007040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125025080 (or 125025051 counting only the distinct ones).

The product of its (nonzero) digits is 28812, while the sum is 36.

The spelling of 103700770007040 in words is "one hundred three trillion, seven hundred billion, seven hundred seventy million, seven thousand, forty".