102677641 has 8 divisors (see below), whose sum is σ = 113911200. Its totient is φ = 91760640.

The previous prime is 102677629. The next prime is 102677677. The reversal of 102677641 is 146776201.

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 102677641 - 2²¹ = 100580489 is a prime.

It is a super-3 number, since 3×102677641³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102677597 and 102677606.

It is not an unprimeable number, because it can be changed into a prime (102677941) 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, 78456 + ... + 79753.

It is an arithmetic number, because the mean of its divisors is an integer number (14238900).

Almost surely, 2^102677641 is an apocalyptic number.

102677641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102677641 is a deficient number, since it is larger than the sum of its proper divisors (11233559).

102677641 is a wasteful number, since it uses less digits than its factorization.

102677641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158279.

The product of its (nonzero) digits is 14112, while the sum is 34.

The square root of 102677641 is about 10132.9976315008. The cubic root of 102677641 is about 468.2652832179.

The spelling of 102677641 in words is "one hundred two million, six hundred seventy-seven thousand, six hundred forty-one".