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105485135154 = 23743151386809
BaseRepresentation
bin110001000111101100…
…1110110110100110010
3101002021102220002010120
41202033121312310302
53212013143311104
6120243104311110
710423006566120
oct1421731666462
9332242802116
10105485135154
1140810677353
121853a912496
139c4101a449
145169728910
152b25a6ecd9
hex188f676d32

105485135154 has 64 divisors (see below), whose sum is σ = 248350586880. Its totient is φ = 29242684800.

The previous prime is 105485135143. The next prime is 105485135219. The reversal of 105485135154 is 451531584501.

It is a happy number.

It is a super-2 number, since 2×1054851351542 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79302 + ... + 466110.

It is an arithmetic number, because the mean of its divisors is an integer number (3880477920).

Almost surely, 2105485135154 is an apocalyptic number.

105485135154 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105485135154, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124175293440).

105485135154 is an abundant number, since it is smaller than the sum of its proper divisors (142865451726).

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

105485135154 is a wasteful number, since it uses less digits than its factorization.

105485135154 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387015.

The product of its (nonzero) digits is 240000, while the sum is 42.

The spelling of 105485135154 in words is "one hundred five billion, four hundred eighty-five million, one hundred thirty-five thousand, one hundred fifty-four".

Divisors: 1 2 3 6 7 14 21 42 43 86 129 151 258 301 302 453 602 903 906 1057 1806 2114 3171 6342 6493 12986 19479 38958 45451 90902 136353 272706 386809 773618 1160427 2320854 2707663 5415326 8122989 16245978 16632787 33265574 49898361 58408159 99796722 116429509 116816318 175224477 232859018 349288527 350448954 408857113 698577054 817714226 1226571339 2453142678 2511550837 5023101674 7534652511 15069305022 17580855859 35161711718 52742567577 105485135154