105461153154 has 96 divisors (see below), whose sum is σ = 265366333440. Its totient is φ = 29645437536.

The previous prime is 105461153141. The next prime is 105461153159. The reversal of 105461153154 is 451351164501.

105461153154 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 611 + 5 + 31 + 5 + 4 = 666.

It is a super-2 number, since 2×105461153154² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105461153159) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7244407 + ... + 7258949.

It is an arithmetic number, because the mean of its divisors is an integer number (2764232640).

Almost surely, 2^105461153154 is an apocalyptic number.

105461153154 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105461153154, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132683166720).

105461153154 is an abundant number, since it is smaller than the sum of its proper divisors (159905180286).

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

105461153154 is a wasteful number, since it uses less digits than its factorization.

105461153154 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15484 (or 15481 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 105461153154 in words is "one hundred five billion, four hundred sixty-one million, one hundred fifty-three thousand, one hundred fifty-four".