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106015156101 = 3317239966401
BaseRepresentation
bin110001010111011111…
…1101110011110000101
3101010122101012221012000
41202232333232132011
53214104334443401
6120411440415513
710442103646521
oct1425677563605
9333571187160
10106015156101
1140a62878998
1218668317599
139cc6a83bca
1451b9c96d81
152b57368186
hex18aefee785

106015156101 has 32 divisors (see below), whose sum is σ = 166994265600. Its totient is φ = 66240921600.

The previous prime is 106015156069. The next prime is 106015156109. The reversal of 106015156101 is 101651510601.

106015156101 is a `hidden beast` number, since 1 + 0 + 601 + 5 + 1 + 56 + 1 + 0 + 1 = 666.

It is not a de Polignac number, because 106015156101 - 25 = 106015156069 is a prime.

It is a super-2 number, since 2×1060151561012 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106015156109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 373500 + ... + 592901.

It is an arithmetic number, because the mean of its divisors is an integer number (5218570800).

Almost surely, 2106015156101 is an apocalyptic number.

It is an amenable number.

106015156101 is a deficient number, since it is larger than the sum of its proper divisors (60979109499).

106015156101 is a wasteful number, since it uses less digits than its factorization.

106015156101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 966666 (or 966660 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 27.

Adding to 106015156101 its reverse (101651510601), we get a palindrome (207666666702).

The spelling of 106015156101 in words is "one hundred six billion, fifteen million, one hundred fifty-six thousand, one hundred one".

Divisors: 1 3 9 17 27 51 153 239 459 717 2151 4063 6453 12189 36567 109701 966401 2899203 8697609 16428817 26092827 49286451 147859353 230969839 443578059 692909517 2078728551 3926487263 6236185653 11779461789 35338385367 106015156101