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106435372360 = 2359727431797
BaseRepresentation
bin110001100100000001…
…0101110010101001000
3101011201122221010112011
41203020002232111020
53220434423403420
6120521251225304
710455365511022
oct1431002562510
9334648833464
10106435372360
1141158aa1659
1218764ba8234
13a062b53195
145219a01012
152b7e1c195a
hex18c80ae548

106435372360 has 32 divisors (see below), whose sum is σ = 241948458360. Its totient is φ = 42135238656.

The previous prime is 106435372297. The next prime is 106435372363. The reversal of 106435372360 is 63273534601.

It can be written as a sum of positive squares in 4 ways, for example, as 102196581124 + 4238791236 = 319682^2 + 65106^2 .

It is a super-2 number, since 2×1064353723602 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (106435372363) 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, 13712019 + ... + 13719778.

Almost surely, 2106435372360 is an apocalyptic number.

106435372360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106435372360 is an abundant number, since it is smaller than the sum of its proper divisors (135513086000).

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

106435372360 is a wasteful number, since it uses less digits than its factorization.

106435372360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27431905 (or 27431901 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 40.

The spelling of 106435372360 in words is "one hundred six billion, four hundred thirty-five million, three hundred seventy-two thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 97 194 388 485 776 970 1940 3880 27431797 54863594 109727188 137158985 219454376 274317970 548635940 1097271880 2660884309 5321768618 10643537236 13304421545 21287074472 26608843090 53217686180 106435372360