101098368 has 240 divisors, whose sum is σ = 351747000. Its totient is φ = 28740096.

The previous prime is 101098367. The next prime is 101098369. The reversal of 101098368 is 863890101.

It is an interprime number because it is at equal distance from previous prime (101098367) and next prime (101098369).

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 (101098367) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 507933 + ... + 508131.

Almost surely, 2^101098368 is an apocalyptic number.

101098368 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 101098368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175873500).

101098368 is an abundant number, since it is smaller than the sum of its proper divisors (250648632).

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

101098368 is an equidigital number, since it uses as much as digits as its factorization.

101098368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 101098368 is about 10054.7684210030. The cubic root of 101098368 is about 465.8520900777.

The spelling of 101098368 in words is "one hundred one million, ninety-eight thousand, three hundred sixty-eight".