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106405102146 = 23719133339727
BaseRepresentation
bin110001100011000111…
…1010000001001000010
3101011122112222020121010
41203012033100021002
53220404201232041
6120514250341350
710454550305460
oct1430617201102
9334575866533
10106405102146
11411429a7152
1218756a2a856
13a0597b5205
1452159a1830
152b7b6e2a16
hex18c63d0242

106405102146 has 32 divisors (see below), whose sum is σ = 256012277760. Its totient is φ = 28801380816.

The previous prime is 106405102081. The next prime is 106405102171. The reversal of 106405102146 is 641201504601.

It is a super-2 number, since 2×1064051021462 (a number of 23 digits) contains 22 as substring.

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, 66669066 + ... + 66670661.

It is an arithmetic number, because the mean of its divisors is an integer number (8000383680).

Almost surely, 2106405102146 is an apocalyptic number.

106405102146 is an abundant number, since it is smaller than the sum of its proper divisors (149607175614).

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

106405102146 is a wasteful number, since it uses less digits than its factorization.

106405102146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133339758.

The product of its (nonzero) digits is 5760, while the sum is 30.

Adding to 106405102146 its reverse (641201504601), we get a palindrome (747606606747).

The spelling of 106405102146 in words is "one hundred six billion, four hundred five million, one hundred two thousand, one hundred forty-six".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 114 133 266 399 798 133339727 266679454 400019181 800038362 933378089 1866756178 2533454813 2800134267 5066909626 5600268534 7600364439 15200728878 17734183691 35468367382 53202551073 106405102146