101829420 has 384 divisors, whose sum is σ = 412876800. Its totient is φ = 20217600.

The previous prime is 101829397. The next prime is 101829437. The reversal of 101829420 is 24928101.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1288941 + ... + 1289019.

It is an arithmetic number, because the mean of its divisors is an integer number (1075200).

Almost surely, 2^101829420 is an apocalyptic number.

101829420 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 101829420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206438400).

101829420 is an abundant number, since it is smaller than the sum of its proper divisors (311047380).

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

101829420 is a wasteful number, since it uses less digits than its factorization.

101829420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 101829420 is about 10091.0564362707. The cubic root of 101829420 is about 466.9722680841.

The spelling of 101829420 in words is "one hundred one million, eight hundred twenty-nine thousand, four hundred twenty".