101052468 has 48 divisors (see below), whose sum is σ = 285808320. Its totient is φ = 30621600.

The previous prime is 101052463. The next prime is 101052473. The reversal of 101052468 is 864250101.

It is an interprime number because it is at equal distance from previous prime (101052463) and next prime (101052473).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101052461) 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 15 ways as a sum of consecutive naturals, for example, 41343 + ... + 43718.

It is an arithmetic number, because the mean of its divisors is an integer number (5954340).

Almost surely, 2^101052468 is an apocalyptic number.

101052468 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

101052468 is an abundant number, since it is smaller than the sum of its proper divisors (184755852).

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

101052468 is a wasteful number, since it uses less digits than its factorization.

101052468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85085 (or 85077 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 101052468 is about 10052.4856627602. The cubic root of 101052468 is about 465.7815783962.

The spelling of 101052468 in words is "one hundred one million, fifty-two thousand, four hundred sixty-eight".