103767074010400 has 36 divisors (see below), whose sum is σ = 253321369429842. Its totient is φ = 41506829603840.

The previous prime is 103767074010377. The next prime is 103767074010533. The reversal of 103767074010400 is 4010470767301.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 87317138564496 + 16449935445904 = 9344364^2 + 4055852^2 .

It is a super-2 number, since 2×103767074010400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 64854420457 + ... + 64854422056.

Almost surely, 2^{103767074010400} is an apocalyptic number.

103767074010400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103767074010400 is an abundant number, since it is smaller than the sum of its proper divisors (149554295419442).

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

103767074010400 is a wasteful number, since it uses less digits than its factorization.

103767074010400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129708842533 (or 129708842520 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 40.

The spelling of 103767074010400 in words is "one hundred three trillion, seven hundred sixty-seven billion, seventy-four million, ten thousand, four hundred".