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106262134506 = 232111972724251
BaseRepresentation
bin110001011110110110…
…1110111111011101010
3101011021120221201212100
41202331231313323222
53220111101301011
6120452142154230
710451163145263
oct1427555677352
9334246851770
10106262134506
114107a228480
1218716b82976
13a035ca9188
1452009c796a
152b6dda1d56
hex18bdb77eea

106262134506 has 48 divisors (see below), whose sum is σ = 252440087328. Its totient is φ = 32037180000.

The previous prime is 106262134487. The next prime is 106262134507. The reversal of 106262134506 is 605431262601.

106262134506 is a `hidden beast` number, since 1 + 0 + 62 + 62 + 1 + 34 + 506 = 666.

It is a super-2 number, since 2×1062621345062 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106262134507) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1323120 + ... + 1401131.

It is an arithmetic number, because the mean of its divisors is an integer number (5259168486).

Almost surely, 2106262134506 is an apocalyptic number.

106262134506 is an abundant number, since it is smaller than the sum of its proper divisors (146177952822).

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

106262134506 is a wasteful number, since it uses less digits than its factorization.

106262134506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2724467 (or 2724464 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 106262134506 in words is "one hundred six billion, two hundred sixty-two million, one hundred thirty-four thousand, five hundred six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 197 198 394 591 1182 1773 2167 3546 4334 6501 13002 19503 39006 2724251 5448502 8172753 16345506 24518259 29966761 49036518 59933522 89900283 179800566 269700849 536677447 539401698 1073354894 1610032341 3220064682 4830097023 5903451917 9660194046 11806903834 17710355751 35420711502 53131067253 106262134506