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100105621 = 7111300073
BaseRepresentation
bin1011111011101…
…11110110010101
320222100220002121
411331313312111
5201111334441
613533335541
72323612060
oct575676625
9228326077
10100105621
1151563920
12296375b1
131797c8c5
14d41b8d7
158bc5dd1
hex5f77d95

100105621 has 8 divisors (see below), whose sum is σ = 124807104. Its totient is φ = 78004320.

The previous prime is 100105619. The next prime is 100105627. The reversal of 100105621 is 126501001.

It is a happy number.

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 100105621 - 21 = 100105619 is a prime.

It is a super-2 number, since 2×1001056212 = 20042270711591282, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100105595 and 100105604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100105627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 649960 + ... + 650113.

It is an arithmetic number, because the mean of its divisors is an integer number (15600888).

Almost surely, 2100105621 is an apocalyptic number.

100105621 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100105621 is a deficient number, since it is larger than the sum of its proper divisors (24701483).

100105621 is a wasteful number, since it uses less digits than its factorization.

100105621 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1300091.

The product of its (nonzero) digits is 60, while the sum is 16.

The square root of 100105621 is about 10005.2796562615. The cubic root of 100105621 is about 464.3222422791.

Adding to 100105621 its reverse (126501001), we get a palindrome (226606622).

The spelling of 100105621 in words is "one hundred million, one hundred five thousand, six hundred twenty-one".

Divisors: 1 7 11 77 1300073 9100511 14300803 100105621