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106505506110 = 23513212687497
BaseRepresentation
bin110001100110000111…
…0010000110100111110
3101011220112220021221110
41203030032100310332
53221110402143420
6120532234342450
710460206602423
oct1431416206476
9334815807843
10106505506110
1141194644133
121878458aa26
13a07453a843
145225059d4a
152b85426ee0
hex18cc390d3e

106505506110 has 32 divisors (see below), whose sum is σ = 255806809632. Its totient is φ = 28379957760.

The previous prime is 106505506109. The next prime is 106505506171. The reversal of 106505506110 is 11605505601.

It is a super-2 number, since 2×1065055061102 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 1304119 + ... + 1383378.

It is an arithmetic number, because the mean of its divisors is an integer number (7993962801).

Almost surely, 2106505506110 is an apocalyptic number.

106505506110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106505506110 is an abundant number, since it is smaller than the sum of its proper divisors (149301303522).

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

106505506110 is a wasteful number, since it uses less digits than its factorization.

106505506110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2688828.

The product of its (nonzero) digits is 4500, while the sum is 30.

The spelling of 106505506110 in words is "one hundred six billion, five hundred five million, five hundred six thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 1321 2642 3963 6605 7926 13210 19815 39630 2687497 5374994 8062491 13437485 16124982 26874970 40312455 80624910 3550183537 7100367074 10650550611 17750917685 21301101222 35501835370 53252753055 106505506110