Search a number
-
+
106544100541 = 1922932445523
BaseRepresentation
bin110001100111010000…
…1011111010010111101
3101012000020112002112211
41203032201133102331
53221200242204131
6120540133500421
710461155624554
oct1431641372275
9335006462484
10106544100541
114120440475a
12187954a1711
13a07c531698
14522a224d9b
152b889ec5b1
hex18ce85f4bd

106544100541 has 8 divisors (see below), whose sum is σ = 112200641120. Its totient is φ = 100892455632.

The previous prime is 106544100511. The next prime is 106544100557. The reversal of 106544100541 is 145001445601.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 106544100541 - 29 = 106544100029 is a prime.

It is a super-2 number, since 2×1065441005412 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106544100511) 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, 1179195 + ... + 1266328.

It is an arithmetic number, because the mean of its divisors is an integer number (14025080140).

Almost surely, 2106544100541 is an apocalyptic number.

It is an amenable number.

106544100541 is a deficient number, since it is larger than the sum of its proper divisors (5656540579).

106544100541 is a wasteful number, since it uses less digits than its factorization.

106544100541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2447835.

The product of its (nonzero) digits is 9600, while the sum is 31.

The spelling of 106544100541 in words is "one hundred six billion, five hundred forty-four million, one hundred thousand, five hundred forty-one".

Divisors: 1 19 2293 43567 2445523 46464937 5607584239 106544100541