100105677 has 36 divisors (see below), whose sum is σ = 172149120. Its totient is φ = 55862352.

The previous prime is 100105667. The next prime is 100105717. The reversal of 100105677 is 776501001.

It is not a de Polignac number, because 100105677 - 2⁷ = 100105549 is a prime.

It is a super-2 number, since 2×100105677² = 20042293135256658, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100105677.

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 polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16324 + ... + 21602.

It is an arithmetic number, because the mean of its divisors is an integer number (4781920).

Almost surely, 2^100105677 is an apocalyptic number.

It is an amenable number.

100105677 is a deficient number, since it is larger than the sum of its proper divisors (72043443).

100105677 is a wasteful number, since it uses less digits than its factorization.

100105677 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5342 (or 5332 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 27.

The square root of 100105677 is about 10005.2824547836. The cubic root of 100105677 is about 464.3223288611.

Adding to 100105677 its reverse (776501001), we get a palindrome (876606678).

The spelling of 100105677 in words is "one hundred million, one hundred five thousand, six hundred seventy-seven".