102054000 has 160 divisors (see below), whose sum is σ = 334960704. Its totient is φ = 26726400.

The previous prime is 102053999. The next prime is 102054019. The reversal of 102054000 is 450201.

102054000 = T₄₁₅ + T₄₁₆ + ... + T₈₈₀.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

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, 437884 + ... + 438116.

Almost surely, 2^102054000 is an apocalyptic number.

102054000 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 102054000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167480352).

102054000 is an abundant number, since it is smaller than the sum of its proper divisors (232906704).

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

102054000 is a wasteful number, since it uses less digits than its factorization.

102054000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 102054000 is about 10102.1779829896. The cubic root of 102054000 is about 467.3153111492.

The spelling of 102054000 in words is "one hundred two million, fifty-four thousand".