104977348115400 has 288 divisors, whose sum is σ = 373385160570240. Its totient is φ = 27398342741760.

The previous prime is 104977348115389. The next prime is 104977348115407. The reversal of 104977348115400 is 4511843779401.

104977348115400 is a `hidden beast` number, since 1 + 0 + 4 + 9 + 7 + 7 + 3 + 481 + 154 + 0 + 0 = 666.

It is a super-2 number, since 2×104977348115400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (104977348115407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20694819 + ... + 25263218.

It is an arithmetic number, because the mean of its divisors is an integer number (1296476251980).

Almost surely, 2^{104977348115400} is an apocalyptic number.

104977348115400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104977348115400 is an abundant number, since it is smaller than the sum of its proper divisors (268407812454840).

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

104977348115400 is a wasteful number, since it uses less digits than its factorization.

104977348115400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45958115 (or 45958094 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 104977348115400 in words is "one hundred four trillion, nine hundred seventy-seven billion, three hundred forty-eight million, one hundred fifteen thousand, four hundred".