105400677075498 has 384 divisors, whose sum is σ = 276587734026240. Its totient is φ = 29460131205120.

The previous prime is 105400677075493. The next prime is 105400677075517. The reversal of 105400677075498 is 894570776004501.

105400677075498 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 0 + 0 + 6 + 7 + 70 + 75 + 498 = 666.

It is a super-2 number, since 2×105400677075498² (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (105400677075493) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 43716579913 + ... + 43716582323.

It is an arithmetic number, because the mean of its divisors is an integer number (720280557360).

Almost surely, 2^{105400677075498} is an apocalyptic number.

105400677075498 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105400677075498, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138293867013120).

105400677075498 is an abundant number, since it is smaller than the sum of its proper divisors (171187056950742).

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

105400677075498 is a wasteful number, since it uses less digits than its factorization.

105400677075498 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3464 (or 3452 counting only the distinct ones).

The product of its (nonzero) digits is 59270400, while the sum is 63.

The spelling of 105400677075498 in words is "one hundred five trillion, four hundred billion, six hundred seventy-seven million, seventy-five thousand, four hundred ninety-eight".