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106432614132 = 223134331575659
BaseRepresentation
bin110001100011111100…
…0001100111011110100
3101011201110201222221120
41203013320030323310
53220433222123012
6120521112143540
710455333202365
oct1430770147364
9334643658846
10106432614132
1141157488329
1218764097bb0
13a0623c88b0
1452194c3b6c
152b7dd2958c
hex18c7e0cef4

106432614132 has 48 divisors (see below), whose sum is σ = 268063884480. Its totient is φ = 32672844288.

The previous prime is 106432614107. The next prime is 106432614151. The reversal of 106432614132 is 231416234601.

It is a happy number.

It is a super-2 number, since 2×1064326141322 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106432614093 and 106432614102.

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, 720282 + ... + 855377.

It is an arithmetic number, because the mean of its divisors is an integer number (5584664260).

Almost surely, 2106432614132 is an apocalyptic number.

106432614132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106432614132 is an abundant number, since it is smaller than the sum of its proper divisors (161631270348).

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

106432614132 is a wasteful number, since it uses less digits than its factorization.

106432614132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1576112 (or 1576110 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

Adding to 106432614132 its reverse (231416234601), we get a palindrome (337848848733).

The spelling of 106432614132 in words is "one hundred six billion, four hundred thirty-two million, six hundred fourteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 433 866 1299 1732 2598 5196 5629 11258 16887 22516 33774 67548 1575659 3151318 4726977 6302636 9453954 18907908 20483567 40967134 61450701 81934268 122901402 245802804 682260347 1364520694 2046781041 2729041388 4093562082 8187124164 8869384511 17738769022 26608153533 35477538044 53216307066 106432614132