102045801 has 32 divisors (see below), whose sum is σ = 161925120. Its totient is φ = 56347200.

The previous prime is 102045799. The next prime is 102045821. The reversal of 102045801 is 108540201.

It is not a de Polignac number, because 102045801 - 2¹ = 102045799 is a prime.

It is a super-3 number, since 3×102045801³ (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (102045821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32386 + ... + 35396.

It is an arithmetic number, because the mean of its divisors is an integer number (5060160).

Almost surely, 2^102045801 is an apocalyptic number.

102045801 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102045801 is a deficient number, since it is larger than the sum of its proper divisors (59879319).

102045801 is a wasteful number, since it uses less digits than its factorization.

102045801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3117.

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 102045801 is about 10101.7721712579. The cubic root of 102045801 is about 467.3027961380.

The spelling of 102045801 in words is "one hundred two million, forty-five thousand, eight hundred one".