102671100 has 216 divisors, whose sum is σ = 377336960. Its totient is φ = 22861440.

The previous prime is 102671089. The next prime is 102671111. The reversal of 102671100 is 1176201.

It is an interprime number because it is at equal distance from previous prime (102671089) and next prime (102671111).

It is a super-4 number, since 4×102671100⁴ (a number of 33 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 270711 + ... + 271089.

Almost surely, 2^102671100 is an apocalyptic number.

102671100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102671100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188668480).

102671100 is an abundant number, since it is smaller than the sum of its proper divisors (274665860).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102671100 is a wasteful number, since it uses less digits than its factorization.

102671100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 102671100 is about 10132.6748689574. The cubic root of 102671100 is about 468.2553395138.

The spelling of 102671100 in words is "one hundred two million, six hundred seventy-one thousand, one hundred".