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106375275448 = 231317232615957
BaseRepresentation
bin110001100010001110…
…1011110001110111000
3101011120110211220001121
41203010131132032320
53220324032303243
6120511303155024
710454035631251
oct1430435361670
9334513756047
10106375275448
1141128084992
1218748a45a74
13a053571090
145211a39b28
152b78ca01ed
hex18c475e3b8

106375275448 has 64 divisors (see below), whose sum is σ = 237319709760. Its totient is φ = 44199192576.

The previous prime is 106375275437. The next prime is 106375275511. The reversal of 106375275448 is 844572573601.

It is a super-2 number, since 2×1063752754482 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 106375275395 and 106375275404.

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 15 ways as a sum of consecutive naturals, for example, 1267315 + ... + 1348642.

It is an arithmetic number, because the mean of its divisors is an integer number (3708120465).

Almost surely, 2106375275448 is an apocalyptic number.

It is an amenable number.

106375275448 is an abundant number, since it is smaller than the sum of its proper divisors (130944434312).

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

106375275448 is a wasteful number, since it uses less digits than its factorization.

106375275448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2616016 (or 2616012 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 52.

The spelling of 106375275448 in words is "one hundred six billion, three hundred seventy-five million, two hundred seventy-five thousand, four hundred forty-eight".

Divisors: 1 2 4 8 13 17 23 26 34 46 52 68 92 104 136 184 221 299 391 442 598 782 884 1196 1564 1768 2392 3128 5083 10166 20332 40664 2615957 5231914 10463828 20927656 34007441 44471269 60167011 68014882 88942538 120334022 136029764 177885076 240668044 272059528 355770152 481336088 578126497 782171143 1022839187 1156252994 1564342286 2045678374 2312505988 3128684572 4091356748 4625011976 6257369144 8182713496 13296909431 26593818862 53187637724 106375275448