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105451691 = 1947263449
BaseRepresentation
bin1100100100100…
…01000010101011
321100102111112012
412102101002223
5203443423231
614244110135
72420216222
oct622210253
9240374465
10105451691
1154585464
122b39534b
1318b02067
141000dcb9
1593cee2b
hex64910ab

105451691 has 16 divisors (see below), whose sum is σ = 114048000. Its totient is φ = 97187328.

The previous prime is 105451679. The next prime is 105451727. The reversal of 105451691 is 196154501.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-105451691 is a prime.

It is a super-2 number, since 2×1054516912 = 22240118269518962, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105451601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 234635 + ... + 235083.

It is an arithmetic number, because the mean of its divisors is an integer number (7128000).

Almost surely, 2105451691 is an apocalyptic number.

105451691 is a deficient number, since it is larger than the sum of its proper divisors (8596309).

105451691 is a wasteful number, since it uses less digits than its factorization.

105451691 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778.

The product of its (nonzero) digits is 5400, while the sum is 32.

The square root of 105451691 is about 10268.9673774922. The cubic root of 105451691 is about 472.4449191600. Note that the first 3 decimals are identical.

The spelling of 105451691 in words is "one hundred five million, four hundred fifty-one thousand, six hundred ninety-one".

Divisors: 1 19 47 263 449 893 4997 8531 12361 21103 118087 234859 400957 2243653 5550089 105451691