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106980811924 = 22722632075363
BaseRepresentation
bin110001110100010001…
…1011010010010010100
3101020010200021022221111
41203220203122102110
53223044041440144
6121051334024404
710505040616600
oct1435043322224
9336120238844
10106980811924
1141408974458
12188977a8104
13a11bb5799c
14526c224500
152bb2013534
hex18e88da494

106980811924 has 36 divisors (see below), whose sum is σ = 218610542304. Its totient is φ = 45674566896.

The previous prime is 106980811921. The next prime is 106980811961. The reversal of 106980811924 is 429118089601.

It is a super-2 number, since 2×1069808119242 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106980811921) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 986134 + ... + 1089229.

It is an arithmetic number, because the mean of its divisors is an integer number (6072515064).

Almost surely, 2106980811924 is an apocalyptic number.

106980811924 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

106980811924 is an abundant number, since it is smaller than the sum of its proper divisors (111629730380).

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

106980811924 is a wasteful number, since it uses less digits than its factorization.

106980811924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2075644 (or 2075635 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 49.

The spelling of 106980811924 in words is "one hundred six billion, nine hundred eighty million, eight hundred eleven thousand, nine hundred twenty-four".

Divisors: 1 2 4 7 14 28 49 98 196 263 526 1052 1841 3682 7364 12887 25774 51548 2075363 4150726 8301452 14527541 29055082 58110164 101692787 203385574 406771148 545820469 1091640938 2183281876 3820743283 7641486566 15282973132 26745202981 53490405962 106980811924