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105352255020 = 22352922087837
BaseRepresentation
bin110001000011101111…
…0111101011000101100
3101001221011212001212010
41202013132331120230
53211230134130040
6120222000241220
710416504251355
oct1420736753054
9331834761763
10105352255020
1140752668561
1218502310210
139c1c633a4c
145155c18d2c
152b19072e80
hex18877bd62c

105352255020 has 72 divisors (see below), whose sum is σ = 305509158864. Its totient is φ = 27125165312.

The previous prime is 105352254989. The next prime is 105352255069. The reversal of 105352255020 is 20552253501.

It is a super-2 number, since 2×1053522550202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 993459 + ... + 1094378.

It is an arithmetic number, because the mean of its divisors is an integer number (4243182762).

Almost surely, 2105352255020 is an apocalyptic number.

105352255020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105352255020 is an abundant number, since it is smaller than the sum of its proper divisors (200156903844).

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

105352255020 is a wasteful number, since it uses less digits than its factorization.

105352255020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2087907 (or 2087876 counting only the distinct ones).

The product of its (nonzero) digits is 15000, while the sum is 30.

The spelling of 105352255020 in words is "one hundred five billion, three hundred fifty-two million, two hundred fifty-five thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 290 348 435 580 841 870 1682 1740 2523 3364 4205 5046 8410 10092 12615 16820 25230 50460 2087837 4175674 6263511 8351348 10439185 12527022 20878370 25054044 31317555 41756740 60547273 62635110 121094546 125270220 181641819 242189092 302736365 363283638 605472730 726567276 908209095 1210945460 1755870917 1816418190 3511741834 3632836380 5267612751 7023483668 8779354585 10535225502 17558709170 21070451004 26338063755 35117418340 52676127510 105352255020