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106739600461 = 1321063594163
BaseRepresentation
bin110001101101000101…
…1010000110001001101
3101012111212101112000121
41203122023100301031
53222100314203321
6121011400024541
710466051430304
oct1433213206115
9335455345017
10106739600461
11412a47a373a
121882aa62151
13a0b0ba1600
14524819543b
152b9ac68441
hex18da2d0c4d

106739600461 has 12 divisors (see below), whose sum is σ = 115690860768. Its totient is φ = 98436006864.

The previous prime is 106739600453. The next prime is 106739600477. The reversal of 106739600461 is 164006937601.

It is not a de Polignac number, because 106739600461 - 23 = 106739600453 is a prime.

It is a super-2 number, since 2×1067396004612 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106739600441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 117435 + ... + 476728.

It is an arithmetic number, because the mean of its divisors is an integer number (9640905064).

Almost surely, 2106739600461 is an apocalyptic number.

It is an amenable number.

106739600461 is a deficient number, since it is larger than the sum of its proper divisors (8951260307).

106739600461 is a wasteful number, since it uses less digits than its factorization.

106739600461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595252 (or 595239 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 43.

The spelling of 106739600461 in words is "one hundred six billion, seven hundred thirty-nine million, six hundred thousand, four hundred sixty-one".

Divisors: 1 13 169 1063 13819 179647 594163 7724119 100413547 631595269 8210738497 106739600461