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106140555 = 32519432887
BaseRepresentation
bin1100101001110…
…01001110001011
321101201111110200
412110321032023
5204132444210
614310543243
72426115453
oct624711613
9241644420
10106140555
1154a05a74
122b667b23
1318cb3781
141014cd63
1594b90c0
hex653938b

106140555 has 48 divisors (see below), whose sum is σ = 198232320. Its totient is φ = 52363584.

The previous prime is 106140533. The next prime is 106140557. The reversal of 106140555 is 555041601.

It is a happy number.

106140555 is a `hidden beast` number, since 10 + 61 + 40 + 555 = 666.

It is not a de Polignac number, because 106140555 - 218 = 105878411 is a prime.

It is a super-2 number, since 2×1061405552 = 22531634831416050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106140557) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35322 + ... + 38208.

It is an arithmetic number, because the mean of its divisors is an integer number (4129840).

Almost surely, 2106140555 is an apocalyptic number.

106140555 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106140555 is a deficient number, since it is larger than the sum of its proper divisors (92091765).

106140555 is a wasteful number, since it uses less digits than its factorization.

106140555 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2960 (or 2957 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 106140555 is about 10302.4538339174. The cubic root of 106140555 is about 473.4714371973.

It can be divided in two parts, 1061 and 40555, that added together give a triangular number (41616 = T288).

The spelling of 106140555 in words is "one hundred six million, one hundred forty thousand, five hundred fifty-five".

Divisors: 1 3 5 9 15 19 43 45 57 95 129 171 215 285 387 645 817 855 1935 2451 2887 4085 7353 8661 12255 14435 25983 36765 43305 54853 124141 129915 164559 274265 372423 493677 620705 822795 1117269 1862115 2358679 2468385 5586345 7076037 11793395 21228111 35380185 106140555