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105731149076 = 22743823106703
BaseRepresentation
bin110001001111000010…
…0010100110100010100
3101002220120210212210022
41202132010110310110
53213014133232301
6120323333244312
710432054636640
oct1423604246424
9332816725708
10105731149076
1140927528243
12185a9193698
139c7cc95707
145190287c20
152b3c467d1b
hex189e114d14

105731149076 has 48 divisors (see below), whose sum is σ = 216644972544. Its totient is φ = 44205358176.

The previous prime is 105731149057. The next prime is 105731149087. The reversal of 105731149076 is 670941137501.

It is a super-2 number, since 2×1057311490762 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 937541 + ... + 1044243.

It is an arithmetic number, because the mean of its divisors is an integer number (4513436928).

Almost surely, 2105731149076 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105731149076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108322486272).

105731149076 is an abundant number, since it is smaller than the sum of its proper divisors (110913823468).

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

105731149076 is a wasteful number, since it uses less digits than its factorization.

105731149076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107580 (or 107578 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 44.

The spelling of 105731149076 in words is "one hundred five billion, seven hundred thirty-one million, one hundred forty-nine thousand, seventy-six".

Divisors: 1 2 4 7 14 28 43 86 172 301 602 823 1204 1646 3292 5761 11522 23044 35389 70778 106703 141556 213406 247723 426812 495446 746921 990892 1493842 2987684 4588229 9176458 18352916 32117603 64235206 87816569 128470412 175633138 351266276 614715983 1229431966 2458863932 3776112467 7552224934 15104449868 26432787269 52865574538 105731149076