100561042134 has 96 divisors (see below), whose sum is σ = 260039535840. Its totient is φ = 28722242304.

The previous prime is 100561042121. The next prime is 100561042139. The reversal of 100561042134 is 431240165001.

It is a happy number.

100561042134 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 610 + 42 + 1 + 3 + 4 = 666.

It is a super-2 number, since 2×100561042134² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 100561042098 and 100561042107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100561042139) 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, 13525282 + ... + 13532714.

It is an arithmetic number, because the mean of its divisors is an integer number (2708745165).

Almost surely, 2^100561042134 is an apocalyptic number.

100561042134 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 100561042134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130019767920).

100561042134 is an abundant number, since it is smaller than the sum of its proper divisors (159478493706).

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

100561042134 is a wasteful number, since it uses less digits than its factorization.

100561042134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12571 (or 12558 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 100561042134 in words is "one hundred billion, five hundred sixty-one million, forty-two thousand, one hundred thirty-four".