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106770256567 = 13607222291
BaseRepresentation
bin110001101110000000…
…0001101001010110111
3101012121000002000021221
41203130000031022313
53222131141202232
6121014413051211
710466603130562
oct1433400151267
9335530060257
10106770256567
1141310032067
1218839186b07
13a0b7346110
14524c2954d9
152b9d7c1897
hex18dc00d2b7

106770256567 has 12 divisors (see below), whose sum is σ = 115178261016. Its totient is φ = 98390378160.

The previous prime is 106770256543. The next prime is 106770256577. The reversal of 106770256567 is 765652077601.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-106770256567 is a prime.

It is a super-2 number, since 2×1067702565672 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106770256577) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 4778692 + ... + 4800982.

It is an arithmetic number, because the mean of its divisors is an integer number (9598188418).

Almost surely, 2106770256567 is an apocalyptic number.

106770256567 is a deficient number, since it is larger than the sum of its proper divisors (8408004449).

106770256567 is an frugal number, since it uses more digits than its factorization.

106770256567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23518 (or 22911 counting only the distinct ones).

The product of its (nonzero) digits is 3704400, while the sum is 52.

The spelling of 106770256567 in words is "one hundred six billion, seven hundred seventy million, two hundred fifty-six thousand, five hundred sixty-seven".

Divisors: 1 13 607 7891 22291 289783 368449 4789837 13530637 175898281 8213096659 106770256567