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107606406140 = 225191372066969
BaseRepresentation
bin110010000110111010…
…1110111001111111100
3101021202021102210212122
41210031311313033330
53230334214444030
6121233402422112
710526405234462
oct1441565671774
9337667383778
10107606406140
11416aa013672
1218a31201938
13a1bb64508c
1452cb350832
152bebdd98e5
hex190dd773fc

107606406140 has 48 divisors (see below), whose sum is σ = 239603162400. Its totient is φ = 40479501312.

The previous prime is 107606406137. The next prime is 107606406143. The reversal of 107606406140 is 41604606701.

It is an interprime number because it is at equal distance from previous prime (107606406137) and next prime (107606406143).

It is a self number, because there is not a number n which added to its sum of digits gives 107606406140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107606406143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 981425 + ... + 1085544.

It is an arithmetic number, because the mean of its divisors is an integer number (4991732550).

Almost surely, 2107606406140 is an apocalyptic number.

107606406140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107606406140 is an abundant number, since it is smaller than the sum of its proper divisors (131996756260).

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

107606406140 is a wasteful number, since it uses less digits than its factorization.

107606406140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2067134 (or 2067132 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The spelling of 107606406140 in words is "one hundred seven billion, six hundred six million, four hundred six thousand, one hundred forty".

Divisors: 1 2 4 5 10 19 20 38 76 95 137 190 274 380 548 685 1370 2603 2740 5206 10412 13015 26030 52060 2066969 4133938 8267876 10334845 20669690 39272411 41339380 78544822 157089644 196362055 283174753 392724110 566349506 785448220 1132699012 1415873765 2831747530 5380320307 5663495060 10760640614 21521281228 26901601535 53803203070 107606406140