102046000 has 160 divisors (see below), whose sum is σ = 291088512. Its totient is φ = 33868800.

The previous prime is 102045991. The next prime is 102046001. The reversal of 102046000 is 640201.

It is a super-2 number, since 2×102046000² = 20826772232000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102046001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 517902 + ... + 518098.

Almost surely, 2^102046000 is an apocalyptic number.

102046000 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 102046000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145544256).

102046000 is an abundant number, since it is smaller than the sum of its proper divisors (189042512).

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

102046000 is a wasteful number, since it uses less digits than its factorization.

102046000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 102046000 is about 10101.7820210100. The cubic root of 102046000 is about 467.3030999010.

Adding to 102046000 its reverse (640201), we get a palindrome (102686201).

The spelling of 102046000 in words is "one hundred two million, forty-six thousand".