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106445162164 = 221121979146521
BaseRepresentation
bin110001100100010100…
…0000100011010110100
3101011202100100111121111
41203020220010122310
53220444430142124
6120522241124404
710455544643515
oct1431050043264
9334670314544
10106445162164
1141163578900
1218768329704
13a064ba0173
14521b02ca0c
152b7eea7494
hex18c8a046b4

106445162164 has 72 divisors (see below), whose sum is σ = 218259171200. Its totient is φ = 45257097600.

The previous prime is 106445162137. The next prime is 106445162171. The reversal of 106445162164 is 461261544601.

It is a happy number.

It is a super-2 number, since 2×1064451621642 (a number of 23 digits) 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 23 ways as a sum of consecutive naturals, for example, 653224 + ... + 799744.

Almost surely, 2106445162164 is an apocalyptic number.

It is an amenable number.

106445162164 is an abundant number, since it is smaller than the sum of its proper divisors (111814009036).

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

106445162164 is a wasteful number, since it uses less digits than its factorization.

106445162164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146645 (or 146632 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The spelling of 106445162164 in words is "one hundred six billion, four hundred forty-five million, one hundred sixty-two thousand, one hundred sixty-four".

Divisors: 1 2 4 11 19 22 38 44 76 79 121 158 209 242 316 418 484 836 869 1501 1738 2299 3002 3476 4598 6004 9196 9559 16511 19118 33022 38236 66044 146521 181621 293042 363242 586084 726484 1611731 2783899 3223462 5567798 6446924 11135596 11575159 17729041 23150318 30622889 35458082 46300636 61245778 70916164 122491556 127326749 219928021 254653498 336851779 439856042 509306996 673703558 879712084 1347407116 1400594239 2419208231 2801188478 4838416462 5602376956 9676832924 26611290541 53222581082 106445162164