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106031500640 = 2551350976683
BaseRepresentation
bin110001010111111111…
…0000100110101100000
3101010200111222022200022
41202233332010311200
53214123031010030
6120413223013012
710442362612322
oct1425776046540
9333614868608
10106031500640
1140a7102187a
121867189a168
139cca287530
1451bc10d612
152b589e5de5
hex18aff84d60

106031500640 has 48 divisors (see below), whose sum is σ = 269768611728. Its totient is φ = 39150091776.

The previous prime is 106031500639. The next prime is 106031500697. The reversal of 106031500640 is 46005130601.

It is a super-2 number, since 2×1060315006402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25486262 + ... + 25490421.

It is an arithmetic number, because the mean of its divisors is an integer number (5620179411).

Almost surely, 2106031500640 is an apocalyptic number.

106031500640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106031500640 is an abundant number, since it is smaller than the sum of its proper divisors (163737111088).

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

106031500640 is a wasteful number, since it uses less digits than its factorization.

106031500640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50976711 (or 50976703 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The spelling of 106031500640 in words is "one hundred six billion, thirty-one million, five hundred thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 50976683 101953366 203906732 254883415 407813464 509766830 662696879 815626928 1019533660 1325393758 1631253856 2039067320 2650787516 3313484395 4078134640 5301575032 6626968790 8156269280 10603150064 13253937580 21206300128 26507875160 53015750320 106031500640