102772083 has 16 divisors (see below), whose sum is σ = 145387520. Its totient is φ = 64393056.

The previous prime is 102772079. The next prime is 102772091. The reversal of 102772083 is 380277201.

It is not a de Polignac number, because 102772083 - 2² = 102772079 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 102772083.

It is not an unprimeable number, because it can be changed into a prime (102772063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141 + ... + 14337.

It is an arithmetic number, because the mean of its divisors is an integer number (9086720).

Almost surely, 2^102772083 is an apocalyptic number.

102772083 is a deficient number, since it is larger than the sum of its proper divisors (42615437).

102772083 is a wasteful number, since it uses less digits than its factorization.

102772083 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14346.

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 102772083 is about 10137.6566818965. The cubic root of 102772083 is about 468.4088079991.

The spelling of 102772083 in words is "one hundred two million, seven hundred seventy-two thousand, eighty-three".