103976412367464 has 288 divisors, whose sum is σ = 365842936761120. Its totient is φ = 27422350187904.

The previous prime is 103976412367447. The next prime is 103976412367519. The reversal of 103976412367464 is 464763214679301.

103976412367464 is a `hidden beast` number, since 1 + 0 + 3 + 9 + 76 + 41 + 2 + 3 + 67 + 464 = 666.

It is a super-3 number, since 3×103976412367464³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 40744254 + ... + 43220909.

It is an arithmetic number, because the mean of its divisors is an integer number (1270287974865).

Almost surely, 2^{103976412367464} is an apocalyptic number.

103976412367464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

103976412367464 is an abundant number, since it is smaller than the sum of its proper divisors (261866524393656).

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

103976412367464 is a wasteful number, since it uses less digits than its factorization.

103976412367464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83965211 (or 83965188 counting only the distinct ones).

The product of its (nonzero) digits is 109734912, while the sum is 63.

The spelling of 103976412367464 in words is "one hundred three trillion, nine hundred seventy-six billion, four hundred twelve million, three hundred sixty-seven thousand, four hundred sixty-four".