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100105060105101 = 3436712019643807
BaseRepresentation
bin10110110000101110000110…
…100011000011101110001101
3111010102221122202102211210110
4112300232012203003232031
5101110110130341330401
6552523344005230233
730041231465250612
oct2660560643035615
9433387582384713
10100105060105101
1129995354772117
12b289046102379
1343b1b36099ccc
141aa1179cdc509
15b88e67d849d6
hex5b0b868c3b8d

100105060105101 has 32 divisors (see below), whose sum is σ = 138731347161088. Its totient is φ = 64158312556800.

The previous prime is 100105060105087. The next prime is 100105060105109. The reversal of 100105060105101 is 101501060501001.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-100105060105101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100105060105109) 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, 5558340 + ... + 15202146.

It is an arithmetic number, because the mean of its divisors is an integer number (4335354598784).

Almost surely, 2100105060105101 is an apocalyptic number.

It is an amenable number.

100105060105101 is a deficient number, since it is larger than the sum of its proper divisors (38626287055987).

100105060105101 is a wasteful number, since it uses less digits than its factorization.

100105060105101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9645121.

The product of its (nonzero) digits is 150, while the sum is 21.

The spelling of 100105060105101 in words is "one hundred trillion, one hundred five billion, sixty million, one hundred five thousand, one hundred one".

Divisors: 1 3 43 67 129 201 1201 2881 3603 8643 51643 80467 154929 241401 3460081 9643807 10380243 28931421 414683701 646135069 1244051103 1938405207 11582212207 27783807967 34746636621 83351423901 498035124901 776008217869 1494105374703 2328024653607 33368353368367 100105060105101