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106112021574 = 231317412919381
BaseRepresentation
bin110001011010011000…
…1001111010001000110
3101010220010111012122010
41202310301033101012
53214304134142244
6120425220515050
710444361205246
oct1426461172106
9333803435563
10106112021574
11410025193a9
121869484ba86
13a010b6aa60
1451c8aadb26
152b60aedeb9
hex18b4c4f446

106112021574 has 64 divisors (see below), whose sum is σ = 242064123840. Its totient is φ = 30720245760.

The previous prime is 106112021569. The next prime is 106112021597. The reversal of 106112021574 is 475120211601.

It is a super-2 number, since 2×1061120215742 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5465364 + ... + 5484744.

It is an arithmetic number, because the mean of its divisors is an integer number (3782251935).

Almost surely, 2106112021574 is an apocalyptic number.

106112021574 is an abundant number, since it is smaller than the sum of its proper divisors (135952102266).

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

106112021574 is a wasteful number, since it uses less digits than its factorization.

106112021574 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23545.

The product of its (nonzero) digits is 3360, while the sum is 30.

The spelling of 106112021574 in words is "one hundred six billion, one hundred twelve million, twenty-one thousand, five hundred seventy-four".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 102 221 442 663 1326 4129 8258 12387 19381 24774 38762 53677 58143 70193 107354 116286 140386 161031 210579 251953 322062 329477 421158 503906 658954 755859 912509 988431 1511718 1825018 1976862 2737527 4283201 5475054 8566402 12849603 25699206 80024149 160048298 240072447 480144894 1040313937 1360410533 2080627874 2720821066 3120941811 4081231599 6241883622 8162463198 17685336929 35370673858 53056010787 106112021574