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107142096 = 24323107907
BaseRepresentation
bin1100110001011…
…01101111010000
321110121101022210
412120231233100
5204412021341
614344232120
72440456425
oct630555720
9243541283
10107142096
115552a496
122ba6b640
13192745b9
141032dd4c
159615c16
hex662dbd0

107142096 has 80 divisors (see below), whose sum is σ = 291838464. Its totient is φ = 33804672.

The previous prime is 107142067. The next prime is 107142103. The reversal of 107142096 is 690241701.

It is a happy number.

It is a super-2 number, since 2×1071420962 = 22958857470546432, which contains 22 as substring.

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, 117675 + ... + 118581.

Almost surely, 2107142096 is an apocalyptic number.

107142096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107142096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145919232).

107142096 is an abundant number, since it is smaller than the sum of its proper divisors (184696368).

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

107142096 is a wasteful number, since it uses less digits than its factorization.

107142096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1048 (or 1042 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 107142096 is about 10350.9466233770. The cubic root of 107142096 is about 474.9560010954.

Adding to 107142096 its reverse (690241701), we get a palindrome (797383797).

The spelling of 107142096 in words is "one hundred seven million, one hundred forty-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 107 138 184 214 276 321 368 428 552 642 856 907 1104 1284 1712 1814 2461 2568 2721 3628 4922 5136 5442 7256 7383 9844 10884 14512 14766 19688 20861 21768 29532 39376 41722 43536 59064 62583 83444 97049 118128 125166 166888 194098 250332 291147 333776 388196 500664 582294 776392 1001328 1164588 1552784 2232127 2329176 4464254 4658352 6696381 8928508 13392762 17857016 26785524 35714032 53571048 107142096