105191632455 has 192 divisors, whose sum is σ = 213694341120. Its totient is φ = 43251107328.

The previous prime is 105191632417. The next prime is 105191632457. The reversal of 105191632455 is 554236191501.

It is not a de Polignac number, because 105191632455 - 2⁷ = 105191632327 is a prime.

It is a super-2 number, since 2×105191632455² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105191632457) 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, 122457816 + ... + 122458674.

It is an arithmetic number, because the mean of its divisors is an integer number (1112991360).

Almost surely, 2^105191632455 is an apocalyptic number.

105191632455 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105191632455 is an abundant number, since it is smaller than the sum of its proper divisors (108502708665).

105191632455 is a wasteful number, since it uses less digits than its factorization.

105191632455 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1070 (or 1057 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 42.

The spelling of 105191632455 in words is "one hundred five billion, one hundred ninety-one million, six hundred thirty-two thousand, four hundred fifty-five".