101429748 has 72 divisors (see below), whose sum is σ = 297198720. Its totient is φ = 28566720.

The previous prime is 101429743. The next prime is 101429753. The reversal of 101429748 is 847924101.

It is an interprime number because it is at equal distance from previous prime (101429743) and next prime (101429753).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101429743) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15058 + ... + 20726.

It is an arithmetic number, because the mean of its divisors is an integer number (4127760).

Almost surely, 2^101429748 is an apocalyptic number.

101429748 is a gapful number since it is divisible by the number (18) 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 101429748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148599360).

101429748 is an abundant number, since it is smaller than the sum of its proper divisors (195768972).

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

101429748 is a wasteful number, since it uses less digits than its factorization.

101429748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5757 (or 5752 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 101429748 is about 10071.2336880841. The cubic root of 101429748 is about 466.3605246058.

The spelling of 101429748 in words is "one hundred one million, four hundred twenty-nine thousand, seven hundred forty-eight".