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106102574096 = 24171163335411
BaseRepresentation
bin110001011010000110…
…1001100110000010000
3101010212110201020010112
41202310031030300100
53214244224332341
6120424242220452
710444214666501
oct1426415146020
9333773636115
10106102574096
1140aa8156372
1218691654728
13a00bc1082c
1451c7730ba8
152b5ed84aeb
hex18b434cc10

106102574096 has 40 divisors (see below), whose sum is σ = 217854118944. Its totient is φ = 49887541760.

The previous prime is 106102574093. The next prime is 106102574107. The reversal of 106102574096 is 690475201601.

It is a super-2 number, since 2×1061025740962 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106102574093) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 148631 + ... + 484041.

Almost surely, 2106102574096 is an apocalyptic number.

106102574096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106102574096 is an abundant number, since it is smaller than the sum of its proper divisors (111751544848).

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

106102574096 is a wasteful number, since it uses less digits than its factorization.

106102574096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336599 (or 336593 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 41.

Adding to 106102574096 its reverse (690475201601), we get a palindrome (796577775697).

The spelling of 106102574096 in words is "one hundred six billion, one hundred two million, five hundred seventy-four thousand, ninety-six".

Divisors: 1 2 4 8 16 17 34 68 136 272 1163 2326 4652 9304 18608 19771 39542 79084 158168 316336 335411 670822 1341644 2683288 5366576 5701987 11403974 22807948 45615896 91231792 390082993 780165986 1560331972 3120663944 6241327888 6631410881 13262821762 26525643524 53051287048 106102574096