105355514292 has 192 divisors, whose sum is σ = 299772211200. Its totient is φ = 28130457600.

The previous prime is 105355514263. The next prime is 105355514317. The reversal of 105355514292 is 292415553501.

It is a super-2 number, since 2×105355514292² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41298417 + ... + 41300967.

It is an arithmetic number, because the mean of its divisors is an integer number (1561313600).

Almost surely, 2^105355514292 is an apocalyptic number.

105355514292 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105355514292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149886105600).

105355514292 is an abundant number, since it is smaller than the sum of its proper divisors (194416696908).

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

105355514292 is a wasteful number, since it uses less digits than its factorization.

105355514292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2926 (or 2924 counting only the distinct ones).

The product of its (nonzero) digits is 270000, while the sum is 42.

The spelling of 105355514292 in words is "one hundred five billion, three hundred fifty-five million, five hundred fourteen thousand, two hundred ninety-two".